AP Statistics FRQ Room

Almond Packet Weight Confidence Interval

A quality control team at an almond packaging company wants to estimate the mean weight of its packe

AP Class Enrollment Analysis

In a school, 300 students were surveyed regarding the number of Advanced Placement (AP) courses they

App Usage: Comparing Two Advertising Campaigns

A mobile app company ran two advertising campaigns. In Campaign 1, 400 out of 800 users clicked the

Boxplot Comparison: Stock Price Fluctuations Over Years

A company's daily stock prices over five consecutive years are summarized in the following table: |

Boxplot Construction from Exam Scores

Consider the following set of exam scores: $$\{15, 18, 22, 24, 24, 25, 27, 29, 30, 32, 35\}$$ Answ

Comparing Exam Score Distributions

Two classes took the same exam and their performances are summarized with back-to-back stemplots. Al

Daily Caloric Intake Data Analysis

A nutrition study collected data on the daily caloric intake of 170 individuals. The results, broken

Effect of a Multiplicative Transformation on Distance Data

A group of athletes has their running distances (in kilometers) recorded as: {5, 6, 8, 7, 10, 9}. Th

Effectiveness of a New Wearable Heart Rate Monitor

A tech company is evaluating whether a new wearable device provides more accurate measurements of he

Effects of Adding a Constant on Measures of Spread

Consider the dataset of exam scores: {65, 70, 75, 80, 85}. Answer the following:

Event Attendance by Invitation Type

An event organizer tracked attendance based on invitation type (Digital, Paper) and the outcome (Att

Investigative Analysis of Public Health Survey on COVID-19

A public health survey was conducted with 500 adults to assess COVID-19 vaccination status, experien

Investigative Task: Public Park Usage Study

A city park department seeks to understand how weather conditions affect park attendance. They plan

Job Satisfaction Across Departments

A company administered job satisfaction surveys in two different departments. In Department 1, 120 o

Matching Data Sets and Estimating Percentiles

A cumulative frequency table for exam scores of 100 students is provided below: | Score | Cumulativ

Measures of Variability in Teacher Ages

The ages of 12 mathematics teachers at a high school are: {24, 25, 25, 29, 34, 37, 41, 42, 48, 48, 5

Meditation Training for Stress Reduction

A psychological study is designed to determine if meditation training reduces stress levels among co

Movie Theater Attendance

Ticket sales at a movie theater are assumed to be normally distributed with a mean of $$150$$ seats

Online Course Satisfaction Hypothesis Test

A university is evaluating the satisfaction level with its online course. In a survey of 200 randoml

Online Examination Scores

Scores on an online examination are normally distributed with a mean of $$75$$ and a standard deviat

Product Length Variability in Manufacturing

A manufacturing process produces items with lengths (in centimeters) distributed as shown in the fre

Rainfall Occurrence: Binomial Model

In a 31-day month (e.g., July), the probability of rain on any given day is $$0.2$$.

Relative Frequency Calculation from Pet Ownership Survey

A survey regarding pet ownership in households produced the following frequency table: | Pets Owned

Remote Learning Preference in High Schools

Two high schools surveyed their students regarding their preference for remote learning. In School A

Restaurant Wait Time Analysis

A consumer group claims that a certain fast-food restaurant’s average wait time is 4 minutes. They c

Sleep Deprivation and Reaction Times

A behavioral study is designed to examine the effect of sleep deprivation on reaction times. Partici

Social Media Platform Usage by Gender

A survey of 400 respondents recorded their preferred social media platform (Platform X or Platform Y

Sports Participation and Club Membership

A college survey collected data on students' participation in sports (Yes, No) and their club member

Survey of Smartphone Usage Time

A survey of 500 students categorized their daily smartphone usage (in hours) with the following data

Water Filtration Systems and Water Quality

A city planning department is studying the impact of different water filtration systems on the quali

Analysis of Two Categorical Variables in a School Survey

A high school surveyed 300 students to determine their favorite subject (Mathematics, Science, or En

Bootstrapping Confidence Interval for Regression Slope

A small study examines the relationship between annual income (x, in $1000s) and self-reported happi

Call Center Quick Resolutions

At a call center, the probability that a call is resolved within 3 minutes is $$0.2$$. Let $$Y$$ rep

Constructing and Interpreting Prediction and Confidence Intervals

A study performs a linear regression analysis to predict exam scores (y) based on the number of prac

Consumer Product Satisfaction

A market research study evaluates consumer satisfaction with two new smartphone models. After using

Customer Service Evaluation: Categorical Analysis

A retail chain surveyed 300 customers regarding their overall satisfaction (Satisfied or Dissatisfie

Evaluating Public Health Data on Smoking and Lung Cancer

A study was conducted to investigate the association between smoking and lung cancer incidence among

Influential Points and Leverage in Salary vs. Experience

A human resources department collected data on 20 employees, recording their years of experience (X)

Movie Genre Preference and Age Group

A survey of 200 moviegoers was conducted to investigate the relationship between movie genre prefere

Neighborhood Safety Survey

A community survey collected data on residents' sense of safety based on their neighborhood type (Ur

Residual Analysis in House Price Prediction

A real estate analyst develops a linear regression model to predict house prices (in $1000s) from ho

Residual Plot Analysis for a Blood Pressure Study

A medical study uses a regression model to predict blood pressure (Y) from sodium intake (X). The re

Restaurant Service and Tipping

A restaurant manager collected data on the wait time (in minutes) experienced by customers and the c

Sampling Distribution of Exam Scores

Exam scores at a college are normally distributed with a mean of $$75$$ and a standard deviation of

Simulating the Sampling Distribution of the Sample Range in Bivariate Data

A researcher is interested in exploring the sampling distribution of the range of response variable

Simulation of the Impact of Measurement Error on the Sampling Distribution of Pearson's r

A study measures the relationship between two variables, but with varying degrees of measurement err

Simulation-Based Investigation of Chi-Square Distribution in Two-Way Tables

A researcher is interested in the chi-square test for independence in a two-way table. To understand

Tech Company Productivity Analysis

A tech company collected data on the number of programming hours (x) and the number of bugs fixed (y

Voting Behavior and Media Consumption

A political analyst surveyed 300 individuals to study the relationship between media consumption and

Website A/B Testing for Click-Through Rates

A technology company is testing two versions of its website (Version A and Version B) to see which o

Workforce Diversity Study

A corporation conducted a study to analyze the distribution of employees across different job levels

Adverse Reaction Probability in a Drug Trial

In a clinical trial for a new drug, each patient has a 5% chance of an adverse reaction. In a sample

Analysis of Recycling Behavior

A survey was conducted to study recycling habits among individuals with different education levels.

Analyzing a Charity Fundraising Event

A charity event recorded donations categorized by size (Small, Medium, Large) and by donor type (Fir

Brand Satisfaction Survey Analysis

A company conducted a survey to evaluate the satisfaction level of its customers by gender. The resu

Cluster Sampling in Educational Testing

A school district with 50 schools wants to evaluate a new teaching method. They decide to randomly s

Coffee Consumption and Productivity: Observational Study

A tech company conducted an observational study on the relationship between the number of cups of co

Community Fitness Program and Weight Loss

A local government launches a community fitness program to help residents lose weight. The program i

Comparing Customer Satisfaction Across Two Store Locations

A retail company conducted a survey to measure customer satisfaction at two store locations, Store X

Comparing Retrospective and Prospective Studies in Outbreak Analysis

An epidemiological study is being designed to investigate factors contributing to a recent influenza

Comparing Sampling With and Without Replacement in Simulation

A researcher simulates sampling from a finite population of 200 units. Two methods are used to draw

Comparing Test Scores Between Two Teaching Methods

A school is evaluating two different teaching methods. Group A, using Teaching Method A, had 25 stud

Differences in Data Collection Techniques: Face-to-Face vs. Online Surveys

A political research firm collects survey data about voter opinions through both face-to-face interv

Effect of Population Variability on the Sampling Distribution

A simulation study is conducted drawing samples of size $$n = 30$$ from populations with the same me

Effects of Diet Programs on Weight Loss

Researchers compared the effectiveness of two diet programs versus a Control group in achieving sign

Employee Job Satisfaction Survey

A company surveyed employees across three departments (Sales, HR, IT) regarding their job satisfacti

Evaluation of a New Teaching Method

An educational study compared a New teaching method with a Traditional one in terms of student exam

Flu Vaccination Campaign and Illness Spread

A hospital is reviewing its flu vaccination campaign by comparing the incidence of flu among vaccina

Impact of Advertising on Product Purchase

A company conducted a study on the effect of different advertisement types (Online, TV, Print) on pr

Impact of Advertising on Sales Increase

A company wants to evaluate if exposure to an advertising campaign affects the likelihood of an incr

Impact of Diet on Weight Loss Success

A nutritionist compared the success rates of two different diet plans. Under Diet A, 45 out of 75 pa

Manufacturing Processes and Product Lifespan

A manufacturing company is testing whether a new production process can increase the lifespan of its

Measurement Reliability in Climate Data Collection

A climate study collects rainfall data from multiple sensors distributed across a region. The sensor

Online vs. In-Person Shopping Preferences

A market research company surveyed shoppers to understand their preferred mode of shopping (Online v

Prospective Cohort Study for Diabetes and Lifestyle Factors

A health organization plans to conduct a prospective cohort study to investigate how lifestyle facto

Quality Control in Manufacturing

A factory produces light bulbs. A quality control inspector takes a simple random sample of 200 bulb

Remote Learning and Student Engagement

A school district wants to evaluate the effectiveness of remote learning on student engagement. Data

Replication in Experimental Designs: Water Purification Study

Researchers are testing various water purification techniques in an experimental study. Replication

Simulating the Sampling Distribution from a Skewed Distribution

A fast food restaurant is interested in the waiting times (in minutes) of its customers, which are p

AP Exam Score Distribution: Cumulative Probability Analysis

The table below shows the percentage of students achieving each AP exam score for a given year.

Applying Chebyshev's Inequality in Quality Control

A production process yields items with an average weight of 50 grams and a standard deviation of 5 g

Carnival Game Payoff Transformation

In a carnival game, the possible winnings are $$2$$ dollars with probability $$0.5$$, $$5$$ dollars

Casino Free Chips Expected Sum

A casino offers free chips to couples. One person draws a card from Bag X containing the numbers $$\

City Traffic Speed Analysis

The city transportation department collected data on the speeds of vehicles on a major highway. A ra

Coffee Consumption and Alertness Level Regression Analysis

A study examines the influence of coffee consumption (number of cups per day) on an individual's ale

Comparing Daily Sales between Two Store Locations

Two retail stores report their average daily sales. Store 1 has a sample size of 40, with a mean dai

Comparing Daily Step Counts: Traditional Pedometer vs Fitness Tracker

A study compared the daily step counts of two groups: one group used a traditional pedometer (n = 50

Cumulative Distribution Analysis of AP Exam Scores

The following table shows the distribution of scores on an AP Statistics exam:

Customer Satisfaction Survey on New Service Protocol

A company is testing a new customer service protocol to improve satisfaction. Customers are randomly

Defective Light Bulb Binomial Probabilities

Suppose the probability that a light bulb is defective is $$0.1$$. Consider independent selections o

Effectiveness of Public Health Announcements on Mask-Wearing Behavior

During a flu outbreak, a health department launches a public health campaign to encourage mask-weari

Evaluating a Mobile App to Promote Healthy Eating

A public health researcher is testing a mobile app designed to promote healthy eating habits. Volunt

First Purchase on a Website (Geometric Distribution)

On a website, each visitor makes a purchase with probability 0.03, independently of others. Let $$X$

Insurance Policy Sales Analysis

An insurance salesperson records her daily sales of auto and home insurance policies. The probabilit

Investigative Study on Public Health Intervention

A local government is assessing the effectiveness of a new public health campaign aimed at reducing

Investment Returns: Sum and Difference of Random Variables

An investor has two independent investments with the following annual return distributions: Investm

Lottery Ticket Expected Outcome

A lottery ticket costs $2. The possible outcomes are: win $100 with probability 0.01, win $20 with p

Medication Dosage and Recovery Time Regression Analysis

A clinical study investigates the effect of medication dosage (in mg) on patient recovery time (in d

Online Advertisement Click-Through

A digital marketing campaign delivers 200 ad impressions, where each impression has a 3% chance of g

Raffle Ticket Payouts in a Fundraiser

A charity raffle sells 500 tickets at $2 each. There is one main prize of $800 and two smaller prize

Random Variable Transformation in a Carnival Game

A carnival game offers three possible payouts: $$\$2$$ with probability 0.5, $$\$5$$ with probabilit

Restaurant Order Times

A fast-food restaurant records its order preparation times (in minutes) with the following distribut

Simulated Binomial Sampling Distribution

A simulation experiment involves performing 20 independent Bernoulli trials with a probability of su

Simulated Distribution of Sample Proportions with a Biased Coin

A simulation uses a biased coin with a probability of heads $$p = 0.8$$. In each simulation run, the

Simulated Distribution of the Difference of Sample Means

In a simulation comparing two independent groups (for example, treatment and control), separate samp

Sleep Duration and Reaction Time Regression Analysis

A study looks at how sleep duration (in hours) affects reaction time (in milliseconds) on a computer

Software Use in Organizations

A survey of 230 organizations recorded the primary operating system used in different departments. T

Suit Name Letter Count

A card is drawn from a standard 52-card deck. Let the random variable $$X$$ be the number of letters

Transformation of Payout Values

A game machine produces a random payout $$X$$ with a mean of $5 and a standard deviation of $3. A re

Virus Spread Modeling among Animal Species

A study examines the spread of a virus among three animal species with the following data: | Specie

Analyzing Maximum Temperatures in City A

A meteorological study collected the maximum daily temperatures over a 40-day period in City A. The

Assessing Variability in a Manufacturing Process

A factory produces 1-liter plastic bottles with the volume of each bottle normally distributed aroun

Bacterial Count in Water Samples

A water quality test measures the concentration of bacteria (in CFU per 100 ml) in a river. The popu

Comparing Clinical Trial Drug Effects

In a clinical trial, two drugs are used to lower blood pressure. Drug A produces an average reductio

Consumer Preferences for Soft Drinks

A market research firm collected data on consumer satisfaction for three soft drink brands. The tabl

Critical Values for Beverage Fill Weights

A beverage company claims that its bottles contain 1 liter of liquid on average with a standard devi

Effect of Restaurant Remodel on Customer Behavior

A fast-food restaurant tested whether remodeling their premises had an effect on how much food custo

Effect of Sample Size on Variability of Estimator

A researcher collects repeated samples from a population with a known mean of $$\mu = 100$$ and stan

Election Polling Proportions

In a pre-election survey, it is known that 52% of voters favor a certain candidate. A random sample

Estimating Average Commute Time

A study suggests that the average commute time in a metropolitan area is $$\mu = 30$$ minutes with a

Examining Bias in Sample Maximums

In a quality control study, an analyst records the maximum defect size from samples of 10 items take

Genetic Mutations in New Fathers

It is estimated that 40-year-old men contribute on average $$65$$ genetic mutations to their offspri

Graduation Rates by Gender

In a large school district, the graduation rate for girls is known to be 90%, while for boys it is 8

Hospital Emergency Room Waiting Times

The waiting times (in minutes) for patients in a busy hospital emergency room are approximately norm

Quality Control in Manufacturing: Sampling Distribution of Mean Weight

A factory produces metal rods with a mean weight of $$100$$ grams and a standard deviation of $$5$$

Sampling Distribution for Differences in Sample Proportions: Political Polls

An exit poll surveys two candidates. Candidate X receives support of 48% from a sample of 400 voters

Sampling Distribution for Sample Means: Caffeine Content in Energy Drinks

An energy drink has its caffeine content normally distributed with a mean of $$\mu = 200$$ mg and a

Sampling Distribution of a Sample Proportion for Disease

In a health study, it is known that 5% of the population has a particular disease. A random sample o

Simulated Sampling Distribution for Eco-Friendly Vehicle Mileage

An automobile manufacturer tests its eco-friendly vehicles whose fuel efficiency (in miles per gallo

Simulation of Sampling Distributions for Medians

A recent survey of high school students examined the number of hours studied per week. Although the

Sports Performance Data Analysis - Batting Averages

In a baseball league, the average batting average is 0.280 with a standard deviation of 0.030. A coa

Survey on Policy Support in Two Regions

A survey was conducted in two regions regarding support for a new public policy. In Region A, out of

Technology Use and Academic Major

A survey was conducted to examine the relationship between academic major and technology usage frequ

Advertising Impact on Brand Recognition

A company runs a new advertisement in two regions. In Region 1, 210 out of 350 respondents recognize

Analyzing Proportions as a Function of Batch Size

A manufacturing researcher is investigating the relationship between the size of a production batch

Assessing Advertising Effectiveness with Proportion Data

An advertising firm claims that its new campaign results in a purchase rate of at least 30%. In an e

Assessing Customer Satisfaction in a Retail Store

A retail store surveys 200 customers and finds that 150 are satisfied with their shopping experience

Assessing the Fairness of a Die

A six-sided die is rolled 600 times to test for fairness. In these 600 rolls, the result "6" appears

Assessing Website Conversion Rate

A company claims that its website has a conversion rate of 5%. To test this claim, a random sample o

Community Recycling Program Study

A city implements a program aimed at increasing household recycling rates. Two neighborhoods with si

Comparing Satisfaction Between Two Stores

A retail chain wants to compare customer satisfaction between two of its stores. In Store A, 150 cus

Comparing Test Pass Rates

A study compares the pass rates of two types of schools. The following table summarizes the results:

Comparing Two Proportions: Online vs. In-Store Shopping Preferences

A researcher compares shopping preferences. In a sample of 300 online shoppers, 210 prefer online sh

Comparing Voter Turnout between Two Regions

Two regions conducted independent surveys before an election. In Region A, a random sample of 200 vo

Confidence Interval for Social Media Users

A survey was conducted on 800 individuals to assess daily social media usage. Out of 800 respondents

Customer Satisfaction Survey – Comparing Two Stores

A retail company conducted a customer satisfaction survey at two different store locations. At Store

Election Poll Margin of Error Analysis

An election poll reports a candidate's support proportion as 0.48 with a margin of error of 0.04 at

Health Study: Smoking Prevalence Comparison

A health study compared the smoking prevalence between two cities. In City A, a sample of 500 respon

Hospital Infection Rates: Hypothesis Testing

A hospital claims that its post-surgery infection rate is 2%. In a sample of 500 patients, 18 develo

Hospital Safety Initiative Comparison

Two hospitals implement a safety initiative and then survey their nursing staff. In Hospital 1, 95 o

Marketing Campaign Response Rate Test

A marketing team asserts that their campaign increases customer engagement, expecting a response rat

Medical Study: Prevalence of a Risk Factor

A public health survey was conducted to determine the prevalence of a certain risk factor. In a simp

Nutrition Labeling Impact Study

A government agency implements a policy requiring prominent nutritional labels on packaged foods. A

Quality Control in Manufacturing

A quality control study in manufacturing compares two plants. In Plant 1, out of 500 items produced,

Research on Smoking Cessation Program

A study is conducted on a smoking cessation program to estimate the proportion of participants who s

Restaurant Hygiene Survey Analysis

A local health department collected data on restaurant hygiene. In a simple random sample of 100 res

Salon Customer Satisfaction: Confidence Interval Analysis

A salon surveyed 120 customers, and 96 reported being satisfied with the service. Answer the followi

Social Media Influence Study

A marketing firm is investigating whether exposure to a popular social media influencer affects the

Study on Diet Preference Differences

A research study examines the diet preferences of individuals choosing between Diet A and Diet B. Th

Type I and Type II Errors in a Drug Trial

In a clinical trial of a new drug, the null hypothesis states that the drug's side effect rate is 10

Vaccine Acceptance Rates

Researchers want to compare vaccine acceptance between urban and rural populations. In an urban area

Voter Approval Poll Design

A polling organization samples voters to estimate the proportion of the electorate that approves of

Web Advertisement Click-Through Rates

An online marketing team is comparing the click-through rates of two advertisements. Ad A was shown

Blood Pressure Reduction Confidence Interval

A clinical trial was conducted to test the effectiveness of a new medication on reducing blood press

Coffee Shop Wait Times

An urban coffee shop is interested in assessing its average customer wait time (in minutes) from pla

Comparative Analysis of Daily Sales at Two Branches

Two branches of a store report their average daily sales. Branch A has a sample of $$n=30$$ with a m

Comparing 3-Point Percentage Rates

A sports analyst wants to compare the true 3-point shooting percentages of two basketball players. I

Comparing Average Wait Times at Two Coffee Chains

A study is conducted to compare customer wait times at two coffee shop franchises. The following sum

Comparing Manufacturing Processes

A company uses two different processes to manufacture a particular part. Process X is evaluated on a

Comparison of Pollutant Concentration in Two Rivers

Environmental scientists measured the pollutant concentration (in mg/L) in two rivers. River 1 was s

Comparison of Waiting Times: Urban vs. Rural Hospitals

A health researcher compares patient waiting times in emergency rooms between urban and rural hospit

Customer Satisfaction at Two Store Branches

A retail chain collects customer satisfaction ratings (on a scale of 1 to 10) from two store branche

Delivery Times: Standard vs. Express Shipping

A logistics company wants to compare the average delivery times for its two shipping methods. Data c

Drug Effectiveness on Blood Pressure

In a clinical trial, 35 patients are given a new drug and their blood pressures are measured before

Education and Annual Income Analysis

The scatterplot below represents data on years of education (x-axis) and annual income in dollars (y

Employee Productivity Analysis

A study compares employee productivity scores between two departments. Department 1 (n = 30) has a s

Examining Teaching Methods

A school is comparing two teaching methods: Traditional and Modern. Student outcomes are classified

Fertilizer Impact on Plant Growth

An agricultural researcher investigates whether a new fertilizer affects plant growth. Two independe

Investigative Analysis of Customer Service Performance Metrics

A company collects data on customer service performance across two centers. For a focused study on c

Manufacturing Measurement Variability

A quality control procedure involves monitoring the variability in a product's critical dimension us

Quality Control Analysis using Simulation-Based P-Value

In a manufacturing process, quality control involves monitoring the variability of a key dimension u

Sample Size Effect on Component Length Confidence Interval

In a manufacturing process, the length of a component is measured. A sample of measurements yields a

Screen Time and Eye Strain Analysis

The scatterplot below depicts data on daily screen time (in hours, x-axis) and reported eye strain o

Simulation of Sampling Distribution with Measurement Error

A lab is troubleshooting a sensor that measures the weight of produced components. A simulation is c

Test Score Comparison between Two Classes

Two different classes took a standardized test. Class A (n = 30) had a mean score of 78 with a stand

Weight Loss Confidence Interval

A nutritionist is studying the effectiveness of a new weight loss program. A random sample of 20 par

Analysis of Product Defects in a Manufacturing Process

A manufacturing process produces parts that can fall into one of four categories based on defect typ

Bacteria Types in Environmental Sampling: Goodness-of-Fit Test

An environmental scientist collects 180 bacterial samples from a river and categorizes them into fou

Blood Type Distribution: Goodness-of-Fit Test

A study of 400 individuals reports the following observed counts for blood types: O = 180, A = 120,

Clinical Trial: Treatment Effects on Recovery Rates

In a clinical trial, patients are randomly assigned to one of three treatment strategies (Treatment

Clothing Preference and Gender: Test for Independence

A clothing store surveyed customers to see if there is an association between gender (male, female)

College Major and Part-Time Job: Independence Test

A study examines the association between college major and part-time job status. The data collected

Customer Feedback Comparison: Chi-Square Test in Service Industry

A service company collected customer feedback regarding satisfaction levels (Satisfied, Neutral, Uns

Dietary Preferences Across Regions

A nutrition study surveyed residents from three cities to determine their dietary preferences: Veget

DNA Mutation Distribution – Chi-Square Goodness-of-Fit

A geneticist hypothesizes that the distribution of DNA mutations in a sample of 300 cells is as foll

Employee Training Program: Comparing Certifications Across Departments

A company is evaluating the effectiveness of a new training program by comparing certification rates

Evaluating Student Performance: Chi-Square Goodness-of-Fit in Grades Distribution

A large high school believes that the distribution of final letter grades (A, B, C, D, F) on a stand

Exercise Frequency and Music Preference – Chi-Square Test for Independence

A gym surveyed 150 members to study the relationship between exercise frequency (categorized as Low,

Extracurricular Participation and Academic Performance Independence Test

A survey of high school students collected data on extracurricular activity participation (Yes, No)

FRQ 3: Voter Preferences by Age Group: A Homogeneity Test

A study categorizes voters into three age groups (Young, Middle, Older) and records whether they sup

FRQ 16: Association Between Marital Status and Voting Behavior

A study examines whether marital status is associated with voting behavior for Party X versus Party

FRQ 17: Customer Complaint Types and Resolution Outcomes

A company categorizes customer complaints into three types: Billing, Service, and Product Quality. E

FRQ 19: Comparing Library Usage Patterns Among Departments

A university library collected data on usage frequency categories (Frequent, Occasional, Rare) from

Gender and Preferred Social Media Platform

A survey of 300 teenagers gathered data on their gender (Male, Female) and their preferred social me

Genotype Ratios: Goodness-of-Fit Test in a Biology Experiment

In a genetic cross, the expected Mendelian ratio for three genotypes is $$1:2:1$$. In a sample of 16

Homogeneity in Dietary Habits Across Regions

Nutrition researchers surveyed individuals from three regions regarding their dietary habits: Omnivo

Observations of Wildlife Distribution

A wildlife biologist expects that four bird species in a habitat occur in equal proportions. In a su

Online Shopping Preference by Age Group

A survey of 330 consumers examines the preference for online shopping platforms among different age

Patient Outcomes by Treatment: Chi-Square Test for Independence

In a hospital trial, patients are assigned to one of two treatments (Medication A and Medication B)

Pet Ownership and Residence Type Independence Test

A city survey collected data on pet ownership (Owning a pet, Not owning a pet) and type of residence

Political Party and Environmental Concern

A survey studies the relationship between political party affiliation (Democratic, Republican, Indep

Restaurant Choices Across Regions: Chi-Square Test for Independence

A customer satisfaction survey collected data from 600 diners across three regions (urban, suburban,

Restaurant Menu Distribution Analysis

A popular restaurant chain claims that the distribution of orders among four cuisine types (Italian,

Service Provider Customer Satisfaction Homogeneity Test

Three service providers – Internet, Phone, and Cable – each surveyed 150 customers regarding their s

Smartphone Brand Preference

A market research firm expects that smartphone brand preferences will follow the proportions: Brand

Student Course Preference and Major

A university surveys 300 students to determine if course delivery preference (Online vs. In-Person)

Vehicle Type Distribution Goodness-of-Fit Test

At a busy toll plaza, vehicles are classified into three types: Cars, Trucks, and Motorcycles. Based

Weather Patterns and Energy Consumption

A utility company is interested in whether weather conditions are associated with high or low energy

Workplace Safety Compliance

A company records the safety compliance of employees in two departments: Manufacturing and Administr

Age and Reaction Time Study

A cognitive psychology study examines the relationship between age (in years) and reaction time (in

Agricultural Study: Fertilizer and Crop Yield

In an agricultural study involving 52 plots, researchers investigated the effect of fertilizer usage

Biomarker Levels and Disease Severity Simulation

A biomedical study examines the relationship between blood biomarker levels (in mg/dL) and disease s

Blood Pressure and Sodium Intake Study

A study investigating the relationship between daily sodium intake (measured in mg) and blood pressu

Coffee Consumption and Alertness

A study examines the relationship between cups of coffee consumed per day (x) and a measured alertne

Daily Water Intake and Blood Pressure

A nutrition researcher studied the relationship between daily water intake (in liters) and systolic

Dosage of Medication and Blood Pressure Reduction

A clinical researcher investigates whether the dosage of a new medication (in mg) is associated with

Effectiveness of a New Drug on Blood Pressure

A pharmaceutical company is investigating whether a new drug reduces blood pressure as the dosage (i

Electricity Bill vs Temperature

A utility company studied the relationship between the average monthly temperature (in $$^\circ F$$)

Employee Salary and Years of Experience

A human resources analyst uses years of experience (x) to predict annual salary in thousands of doll

Engine Size and Emissions

An environmental engineer is studying the relationship between engine size (in liters) and vehicle e

Engine Size and Fuel Efficiency

An automotive engineer is interested in the relationship between engine displacement (in liters) and

Engine Size vs Highway Fuel Efficiency

An automobile researcher is studying the relationship between engine size (in liters) and highway fu

Environmental Study: Pollutant Concentration and Respiratory Issue Rates

Researchers are studying the impact of pollutant concentration (in parts per million, ppm) on the ra

Evaluating the Impact of Work Experience on Promotion Rate

An organizational study examines whether years of work experience (x) affect the promotion rate (y,

Fuel Efficiency and Car Weight

An automotive researcher is examining the relationship between a car's weight (in pounds) and its fu

House Price Prediction Simulation

A real estate analyst is studying the relationship between house price (in $\$\,$ thousands) and squ

House Size vs House Price

A real estate analyst is studying the relationship between house size (in square feet) and house pri

Impact of Teaching Methods on Math Performance

A school district is interested in determining whether a new teaching method improves performance on

Marketing Impact: Social Media Activity vs. Product Sales

A company collected data from 45 markets to investigate the effect of social media advertising hours

Online Course Hours and Final Grades

An educational researcher is modeling final course grades (y, in percentage) as a function of the nu

Physical Activity and Weight Loss: Simulation Analysis

A researcher is studying the effect of weekly physical activity (in hours) on weight loss (in kg) us

Regression Analysis in Judicial Decisions: Predicting Recidivism Risk Scores

A study uses regression analysis to predict recidivism risk scores based on the number of prior offe

Residual Analysis in Housing Price Regression

A real estate analyst uses regression to model housing prices based on various features. A residual

Sleep Duration and Reaction Time

A researcher studies the relationship between nightly sleep duration (in hours) and reaction time (i

Social Media Influence on Product Sales Simulation

A business analyst wants to understand the effect of time spent on social media advertising (in hour

Social Media Use and Sleep Quality

A study investigates the relationship between daily hours spent on social media (x) and nightly slee

Study Program Length and Post-Graduate Salary

A career advisor is studying whether the length of graduate programs (in years) is related to the me

Study Time and Exam Scores

A study was conducted to examine the relationship between hours of study (x) and exam scores (y) for

Traffic Volume and Pollution Levels

An environmental study was conducted over 45 days to assess the relationship between daily traffic v

Weekly Internet Hours vs Exam Score Improvement

An education researcher collected data on the number of weekly hours students spent on the internet