AP Statistics FRQ Room

Analyzing a Stem-and-Leaf Plot of Weights

A stem-and-leaf plot displays the weights (in kg) of 40 participants in a fitness program as follows

AP Course Enrollment Among High School Seniors

A survey of 2200 high school seniors collected data on the number of AP classes they are taking. The

AP Music Tastes Survey

A survey of 320 students about their favorite music genre produced the following data: | Genre

Bootstrap Simulation of the Sampling Distribution of the Median Salary

Given the salary data $$\$3000$$, $$\$7000$$, $$\$15000$$, $$\$22000$$, $$\$23000$$, and $$\$38000$$

College Graduation Rate Analysis

A college claims its graduation rate is 85%. In a survey of 200 students, 162 of them graduated with

Delivery Time Hypothesis Test

A fast-food chain advertises that its average delivery time is $$36$$ minutes. A consumer group coll

Employee Benefits Satisfaction Interval

A company conducted a survey on employee satisfaction with benefits. Out of a sample of 120 employee

Employee Salary Adjustments

A company’s six employee salaries (in dollars) are as follows: {3000, 7000, 15000, 22000, 23000, 380

Employee Turnover by Department

A company recorded employee turnover by department in a two-department organization (Sales and Engin

Event Attendance by Invitation Type

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

Interpreting Boxplots for Salary Data

A survey of 50 teachers provided salary data summarized in the following boxplot: - Minimum: $30,0

Investigating Class Test Scores

A teacher collected the following test scores from a class: {55, 60, 62, 68, 70, 72, 75, 78, 80, 83,

Machine Adjustment Methods in Manufacturing

A manufacturing company wants to study the effect of two machine adjustment methods on production sp

Mobile Device Battery Life

The battery life of smartphones is normally distributed with a mean of $$10$$ hours and a standard d

Movie Theater Attendance

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

Parent Survey on School Length

A survey of 2000 parents asked which school year length they preferred. The following table summariz

Political Polling: Candidate Preference

In a political poll, two states were surveyed to determine the proportion of voters favoring Candida

Restaurant Wait Time Analysis

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

Sampling Distribution of the Median for Home Run Distances

A baseball analyst collects data on home run distances (in feet) from 13 ballparks: {387, 400, 400,

Sampling Distribution of the Median in a Skewed Production Process

A factory produces components whose lifespans (in hours) are right-skewed due to occasional defects.

Simulation to Construct the Sampling Distribution of the 25th Percentile

An athletic coach is interested in the lower 25th percentile (first quartile) of sprint times (in se

Studying Daily Step Counts from a Fitness App

A fitness app recorded the number of steps taken per day by its users. The data were grouped into th

Survey of Smartphone Usage Time

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

Test Scores Histogram Interpretation

A histogram displays the distribution of test scores for an exam. The test score intervals and corre

Water Filtration Systems and Water Quality

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

Analysis of Marketing Campaign Data: Sales vs. Advertisements

A company conducted a marketing campaign across several regions and recorded the amount spent on adv

Car Crash Safety Feature Evaluation

An automotive safety engineer evaluates two car models based on their performance in crash tests. Th

College Major by Gender

A study was conducted at a college to examine the relationship between major category and gender. St

Comparing Effectiveness of Educational Workshops

An educational organization wants to compare the effectiveness of two types of workshops: traditiona

Comparing Regression Lines With and Without an Influential Point

A company collected data on its monthly sales (Y, in millions of dollars) and advertising spending (

Constructing a Scatterplot from Given Data

The following table lists paired observations of variables x and y. | x | y | |----|----| | 5 |

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

Customer Service and Order Mode Inference

In a survey at a local restaurant, 70 customers ordered online and 30 ordered in-person. Among the o

Dietary Effects on Blood Pressure

A research study is being conducted to assess the effects of a low sodium diet on blood pressure amo

Effectiveness of a Fitness Program

A fitness center is evaluating the effect of a new training program on clients' ability to meet thei

Employment Rates of College Graduates

A survey was conducted to compare the employment outcomes of graduates from two colleges. College X

Exploring Temperature and Ice Cream Sales

A study was conducted to explore the relationship between daily temperature (in °F) and ice cream sa

Exploring the Sampling Distribution of the Regression Slope Under Increasing Error Variability

In a study of the relationship between income (x) and expenditure (y), researchers use simulation to

Fitness Tracker: Step Count vs Active Minutes

A fitness tracking app collected data from 50 users on daily step count (in thousands) and active mi

Internet Usage and Credit Card Fraud

A cybersecurity study examined the relationship between frequency of internet usage and whether indi

Interpreting a Simple Linear Regression Model in Advertising

A company studies the relationship between advertising spending (in $1000s) and sales revenue (in $1

Manufacturing Defects in Two Production Lines

A manufacturing company operates two production lines. A quality control inspection was performed on

Marketing Survey: Advertising Budget vs. New Customers

A marketing survey collected data on weekly advertising budget (x, in thousands of dollars) and the

Political Polling: Approval Ratings

A polling organization is studying the approval ratings of a political leader among urban and rural

Predicting Fitness Improvement from Exercise Duration

A fitness study examined the relationship between the daily exercise duration (x, in minutes) and th

Restaurant Service and Tipping

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

Specialty Coffee Orders at a Coffee Shop

At a coffee shop, 25% of customers order a specialty coffee. In a random sample of $$60$$ customers,

Sports Performance: Height vs. Weight Analysis

A sports analyst collected data on the heights (in inches) and weights (in pounds) of athletes. The

Voting Behavior and Media Consumption

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

Analyzing Bias in Convenience Sampling at a Mall

A researcher conducts a convenience survey at a local shopping mall to gauge consumer satisfaction w

Analyzing Sampling Variability with Box Plots

A study is conducted to estimate the average test score for teachers in a school district. Four diff

Assessing Nonresponse Bias in Telephone Surveys

During a telephone survey on community health, only 40% of the contacted individuals respond. Answer

Cluster Sampling in a University Study on Student Satisfaction

A university administration wants to gauge overall student satisfaction with campus life. The survey

Cluster Sampling in Educational Testing

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

Comparative Simulation of the Mean and Median Sampling Distributions

A researcher simulates 1000 samples of size $$n = 30$$ from a moderately skewed population and calcu

Comparing Two Sample Means in Drug Recovery

A study compares recovery times (in days) of patients treated with two different drugs. Drug A was g

Consumer Preferences for Coffee Types

A survey was conducted in a city to understand coffee type preferences among residents from differen

Customer Service Feedback

A company collected customer service feedback from three channels: Online, In-store, and Phone. The

Ebola Outbreak Study

A retrospective observational study during an Ebola outbreak in West Africa collected data on the nu

Evaluating the Sampling Frame in an Urban Survey

A research team plans to survey residents of a large urban area on community services. They initiall

Exploring Stratified Sampling and its Sampling Distribution via Simulation

A researcher is studying a population that is divided into two distinct strata with different means.

Firearm Safety Course Outcomes in Different Regions

A study examined the outcomes of a firearm safety course in two regions. In Region X, 160 out of 200

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 Advertising on Sales Revenue

A chain of retail stores seeks to understand the relationship between advertising expenditures (in $

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

Internet Usage and Education Level

A study analyzed internet usage frequency (Daily, Weekly, Rarely) among individuals with different e

Investigating Sampling Bias in a Voluntary Response Survey on Social Media Usage

A market research firm conducts an online survey where participants voluntarily respond to questions

Matched Pairs Experiment in Physical Therapy

A physical therapy clinic is comparing the effectiveness of two rehabilitation routines for knee rec

Online vs. In-Person Shopping Preferences

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

Regression Analysis: Estimating Crop Yield Based on Rainfall

An agricultural scientist examines the effect of annual rainfall on the yield of a specific crop. Ba

Replication in an Agricultural Experiment

An agricultural scientist is testing the effectiveness of two fertilizers on crop yield. The experim

Retrospective Versus Prospective Public Health Studies

A public health agency is planning to study the spread of a novel pathogen. They have access to exte

Sampling Distribution in Voter Polling

A polling organization is estimating the approval rating for a political candidate. Suppose the true

Screen Time and Anxiety Levels

A psychologist studies the relationship between daily screen time (in hours, x) and self-reported an

Simulating Sampling Distributions for Quality Control in Manufacturing

A manufacturing company produces items that are expected to weigh $$500 \text{ g}$$ on average with

Simulation Study on the Distribution of the Sample Range

A researcher is studying the spread of values in a uniformly distributed population on the interval

Smoking Impact on Lung Capacity: Regression Study

Researchers are investigating the relationship between the number of years a person has smoked (x) a

Social Media Use and Academic Performance

A study is conducted to explore the relationship between daily hours spent on social media (x) and a

Stratified Sampling in an Educational Survey

A school district consists of three types of schools: elementary (40%), middle (30%), and high schoo

Using Random Digit Tables in Clinical Studies

In designing a clinical study, researchers decide to use a random digit table to select a simple ran

Water Quality and Fish Populations: Regression Analysis

An ecologist is studying the effect of water quality on fish populations in lakes. The regression an

AP Exam Score Distribution: Cumulative Probability Analysis

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

Bootstrap Sampling Distribution of the Sample Mean

A small dataset is provided, and a bootstrap resampling technique is applied to generate the samplin

Carnival Game of Chance: Payoff Transformations

A carnival game offers different monetary payoffs with the following probabilities: | Payoff ($$\$\

Casino Chips: Sum and Variance Calculation

At a casino, couples receive free chips by drawing a card from two bags. One bag (X) contains the va

Charity Lottery Expected Value Analysis

A charity sells 10,000 lottery tickets at $$\$1$$ each. One ticket wins a prize of $$\$7500$$, while

Comparing Customer Satisfaction in Two Coffee Shops

A survey was conducted to compare customer satisfaction between two coffee shops. The table below su

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

Comparing Guessing and Knowledge-based Answers

In an exam, if a student guesses an answer, the probability of a correct response is 0.20. If the st

Cumulative Distribution Function Analysis for Daily Customers

A small store tracks its daily customer counts and summarizes the data with the following cumulative

Cumulative Probability Distribution in AP Exam Scores

The following table shows the distribution of scores on an AP exam: | Score | Frequency | |-------|

Customer Satisfaction Survey

A retail company conducted a customer satisfaction survey both online and in-store. The results are

Dice Roll Sum Analysis

Two standard six-sided dice are rolled, and the sum $$X$$ of the numbers is recorded.

Exercise Time and Cholesterol Level Regression Analysis

A health study examining the effect of weekly exercise on cholesterol levels among 80 adults produce

Influence of Diet on Blood Pressure

A nutritionist is investigating how different dietary plans—specifically, low-carb, Mediterranean, a

Law of Large Numbers in Coin Toss Games

Consider a game where a player repeatedly flips a fair coin. The game has two winning conditions: In

Lottery Ticket Expected Outcome

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

Mobile App vs. Printed Pamphlet for Increasing Exercise Duration

A public health organization wants to determine whether a mobile app intervention or a printed pamph

Monthly Supermarket Expenditures

A local supermarket chain wants to estimate the average monthly expenditure of its customers. A rand

Online Learning vs. Traditional Classroom Formats

An educational researcher is studying the effectiveness of online learning compared to traditional c

Parental Involvement and Child's Academic Performance Regression Analysis

A study examines the effect of parental involvement (measured in hours per week) on a child's academ

Quality Control Binomial Process

A manufacturing process produces items such that each item has a $$5\%$$ chance of being defective.

Quality Control in Manufacturing

A factory produces items with a defect probability of $$0.05$$ per item. Items are produced in batch

Restaurant Tip Percentage Analysis

A restaurant manager claims that the average tip percentage is 18%. To test this claim, a random sam

Restaurant Tips: Analysis of Random Variables

In a restaurant, tips received follow this distribution: $$0$$ dollars (p = 0.1), $$5$$ dollars (p =

Scatterplot Regression Analysis on Study Habits

A researcher collects data on the number of hours students study (x) and their exam scores (y). The

Simulated Sampling Distribution for a Binomial Variable with Larger n

A simulation is executed where 50 independent Bernoulli trials with probability $$p = 0.4$$ are perf

Simulated Sampling Distribution of Survey Proportions

A researcher simulates survey responses where each respondent answers 'Yes' or 'No' with a true prob

Software Use in Organizations

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

Survey Response Binomial Analysis

In a survey of $$50$$ respondents, each respondent has a $$0.65$$ probability of giving a positive r

Television Viewing Habits by Age and Time of Day

A survey of 300 television viewers recorded their preferred viewing times (Morning or Evening) acros

Testing Customer Satisfaction Claims

A coffee shop claims that 80% of its customers are satisfied. To test this claim, a random sample of

Weather Impact on Road Conditions

A study of road temperatures under different weather conditions produced the following results. Use

Website Conversion Rates: A/B Testing

An online retailer is testing two different webpage designs. Landing Page A received 120 conversions

Website Navigation and Conversion Rates

A website conducted an A/B test with two versions (A and B) and recorded visitor conversion outcomes

Assessing Estimators for Baseball Weight

A manufacturer is evaluating five different estimators for the weight of professional baseballs. The

Assessing Estimators in Quality Testing

A factory uses different methods to estimate the maximum durable weight of a product. Five estimator

Biased Estimator in Manufacturing

In a factory, two different devices (Device X and Device Y) are used to measure the length of metal

Blood Pressure Reduction Study

A study examines whether a dietary supplement affects blood pressure. In the supplement group, the a

Caffeine Content Analysis

An energy drink has a caffeine content that is normally distributed with mean $$\mu = 150$$ mg and s

Comparing Biased Estimators via Simulation Outcomes

A simulation study compares two estimators for a population parameter. Estimator A has a constant bi

Comparing Pass Rates Between Two Schools

Two high schools are comparing their students' pass rates on a standardized test. School A had 200 s

Comparing Sampling Distribution of the Sample Mean in Normal vs. Skewed Populations

Two populations, A and B, both have the same mean $$\mu = 100$$ and standard deviation $$\sigma = 20

Comparing Variability: Averages versus Individual Values

In environmental testing, individual measurements of a pollutant level exhibit high variability. A s

Differences in Genetic Mutations by Age

A study investigates the number of genetic mutations contributed by fathers of different ages. For 4

Effect of Restaurant Remodel on Customer Behavior

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

Evaluating Estimators for Baseball Weight

A quality control department is evaluating five different statistical estimators to measure the weig

Evaluating Manufacturing Estimators

A factory produces widgets with a true length of 150 mm. Five different estimators (A, B, C, D, and

Evaluation of Estimators in Baseball Manufacturing

A sports equipment manufacturer is evaluating five different estimators (A, B, C, D, and E) used to

Lightbulb Life Expectancy Analysis

A particular brand of lightbulb has a lifespan that is approximately normally distributed with a mea

Lightbulb Lifespan Probabilities

A certain brand of lightbulbs has a lifespan that is normally distributed with mean $$\mu = 1500$$ h

Movie Theater Attendance by Genre Preference

A movie theater analyzed attendance frequency based on movie genre preference. The table below categ

Simulated Daily Sales Distribution

A retail store simulated its daily sales over several months. The resulting sampling distribution of

Simulation of Dream Recall Sampling Distribution

A study records the number of dreams high school students remember each night. The population median

Survey on Learning App Preference

In a high school, it is believed that $$65\%$$ of students prefer using a new learning app. A random

Website Load Time Evaluation

A popular website has load times that are approximately normally distributed with a mean of 3.5 seco

Widget Lifespan Quality Control

A factory produces widgets with an average lifespan of $$500$$ hours and a standard deviation of $$2

Advertising Impact on Brand Recognition

A company launched an advertising campaign in two regions. In Region 1, a post-campaign survey of 50

Comparing Defect Rates in Two Factories

Two factories, Factory A and Factory B, manufacture the same electronic component. A quality control

Comparing Hospital Readmission Rates

Two hospitals report their 30-day readmission rates. Hospital A had 60 readmissions out of 200 patie

Drug Effectiveness Hypothesis Test

A pharmaceutical company claims that its new drug is effective in 80% of patients. To test this clai

Educational Assessment: Confidence Interval for Passing Rate

A school administered a standardized test to 800 students, and 560 of them passed. Answer the follow

Effect of Sample Size on Margin of Error

A researcher is investigating the effect of sample size on the margin of error when estimating a pro

Effectiveness of a Drug

A clinical trial is conducted to test the effectiveness of a new drug. In the trial, 400 patients we

Effectiveness of a New Marketing Strategy

A company implemented a new marketing strategy aimed at increasing customer conversion rates during

Environmental Study: Testing Proportion Exceeding Safety Threshold

A study of water quality in a river found that 18 out of 90 samples exceeded the safety threshold fo

Ethnicity and University Major

A university survey collected data on student major (STEM vs. Humanities) and ethnicity (Underrepres

Evaluating a Confidence Interval in a Political Poll

A political poll of 1,000 registered voters finds that 540 support candidate A. Pollsters wish to cr

Evaluating Public Support for a Tax

A poll was conducted to measure public support for a proposed tax. In the first survey, 1000 voters

Factory Quality Control Analysis

In a factory, quality control is carried out by inspecting a sample of items. Out of 800 items inspe

Health Study: Smoking Prevalence Comparison

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

High School Extracurricular Participation

Two high schools are comparing the rates of extracurricular activity participation. In High School A

Job Satisfaction by Shift Work

A hospital survey examined job satisfaction among nurses working on the Day Shift and the Night Shif

Marketing Campaign Response Rate Test

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

New App Adoption Rate Confidence Interval

A tech company is assessing the adoption rate of its new mobile application. A random sample of 500

Online Shopping Fraud Claims

An online survey compares the percentage of consumers who reported experiencing fraudulent transacti

Opinion Poll on Environmental Policy

A survey of 600 citizens was conducted to gauge support for a new environmental policy. Out of the 6

Power Analysis in Proportion Testing

A study is being designed to detect a 5% increase in the proportion of users who prefer a new app in

Public Health Confidence Interval

A hospital conducted a simple random sample of 500 patients to gauge satisfaction with treatment qua

Public Survey on Recycling: Urban vs. Rural

A public survey investigated recycling habits in two different areas. In an urban area, 180 out of 3

Reading Program Impact Study

A school district is testing a new reading program designed to improve students' reading proficiency

Retail Customer Satisfaction Survey Design

A retail chain wants to compare customer satisfaction levels between two store locations. A survey a

Salon Customer Satisfaction: Confidence Interval Analysis

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

Sample Size and Margin of Error Trade-Off Analysis

A political analyst is planning a poll and is considering two sample sizes. One sample of 300 respon

School Intervention Study

A school implements a new intervention aimed at increasing the proportion of students passing a stan

Study on Diet Preference Differences

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

Testing for a Rare Event Proportion

An environmental study collected 1000 water samples to test for a rare pollutant. Only 4 samples tes

Urban vs Rural Voter Support Analysis

A political poll collected data from two independent groups: urban voters and rural voters. In the u

Analysis of Weekly Exercise Duration

A wellness program is designed to increase weekly exercise time. In a sample of 16 participants unde

Average Monthly Rainfall

Meteorologists are interested in the average monthly rainfall in a particular region. A random sampl

Career Development Program

A corporation has implemented a career development program and wishes to assess its impact on employ

Coffee and Exam Performance

A university study collected data on whether students drink coffee and their exam performance. The t

Comparing New Drug Efficacy

A pharmaceutical study compares two medications for lowering blood pressure. Group 1 (Drug A) consis

Comparison of Waiting Times: Urban vs. Rural Hospitals

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

Daily Steps: Wearable Device Analysis

A fitness tracker company wishes to estimate the average number of steps taken per day by its users.

Experience and Salary Analysis

The scatterplot below represents data on employees' years of experience (x-axis) and their annual sa

Fuel Efficiency of Hybrid Cars

A car manufacturer claims that its new hybrid model achieves an average fuel efficiency of at least

Manufacturing Measurement Variability

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

Online Platform User Engagement

An online platform wants to compare the average daily time spent by users in two different regions.

Paired Analysis of Blood Glucose Levels Before and After a Meal

A nutritionist is interested in the effect of a meal on blood glucose levels. Ten participants have

Pre-Test and Post-Test Scores Analysis

The scatterplot below represents data on students' pre-test scores (x-axis) and post-test scores (y-

Precision in a Manufacturing Process

A company claims that the mean diameter of a manufactured part is $$10$$ mm. An independent quality

Quality Control Analysis using Simulation-Based P-Value

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

Randomized Field Experiment on Stress Reduction

A research team is interested in determining whether a mindfulness training program reduces stress l

Reaction Time One-Sample t-Test

A psychologist is testing whether a new stimulus affects human reaction times. In a study of 15 indi

Response Time in a Virtual Reality Task

A technology company is testing a new virtual reality (VR) system for gaming. They measure the respo

Study Hours and Test Scores Regression Analysis

The scatterplot below displays data on college students' study hours (x-axis) and their correspondin

Temperature and Electricity Consumption Analysis

The scatterplot below shows data on daily temperature in °F (x-axis) and electricity consumption in

Temperature and Ice Cream Sales Analysis

The scatterplot below shows data on daily temperature in °F (x-axis) and the number of ice cream con

Test Scores in a New Curriculum

A school implements a new curriculum and collects standardized test scores from a random sample of 2

Weight Loss Confidence Interval

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

Weight Loss Study Confidence Interval

A nutritionist is studying the effect of a new diet on weight loss. A random sample of 16 subjects y

Weight Reduction Program Evaluation

A fitness center evaluates its new weight reduction program by measuring the weights of 15 participa

Academic Majors and Study Habits

A university studies the relationship between a student's major (STEM, Humanities, Social Sciences)

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

Association between Exercise Frequency and Diet Type

A survey of 200 college students examines whether there is an association between exercise frequency

Blood Type Distribution: Goodness-of-Fit Test

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

Candy Flavor Preferences: Goodness-of-Fit Test

A local candy shop claims that customer preferences for its four candy flavors (chocolate, strawberr

Comparing Preferences for Social Media Platforms Across Age Groups

A survey examines if social media platform preference is associated with age group. The data collect

Customer Product Color Preference Analysis

A company conducts a survey on customer preferences regarding the color of a new product. The compan

Customer Satisfaction Across Store Branches: Chi-Square Test for Homogeneity

A retail chain surveys customer satisfaction across three store branches. Customers are classified a

Distribution of Types of Crimes in a City

A study compares the types of crimes in two districts of a city. District A reported: Property = 80,

Employee Training Program: Comparing Certifications Across Departments

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

Fair Dice Rolling Goodness-of-Fit Test

A die is believed to be fair. In 120 rolls, the outcomes were observed as follows: Face 1 = 14, Face

FRQ 6: Association Between Diet and Heart Disease Risk

A study investigates whether there is an association between diet type and heart disease risk. The s

FRQ 7: Comparing Satisfaction Levels Across Service Centers

A company wants to determine if customer satisfaction is consistent across three service center bran

FRQ 10: Impact of Marketing Strategy on Product Sales

A company implements a new marketing strategy and wants to determine if the acceptance rate of its p

FRQ 11: Distribution of Emergency Calls by Time of Day

A city’s fire department expects that emergency call volumes vary by time of day according to histor

FRQ 19: Comparing Library Usage Patterns Among Departments

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

Fruit Distribution Goodness-of-Fit Test

A fruit vendor claims that the distribution of fruits in a basket follows the percentages: 40% Apple

Job Satisfaction Across Departments: Chi-Square Test for Homogeneity

An organization wants to compare job satisfaction among employees in three different departments: Sa

Learning Style and Major Association Independence Test

A college survey of 300 students categorized them by their preferred learning style (Visual, Auditor

Population Distribution: Rural, Suburban, and Urban

A demographer expects that the percentages of households in a country living in Rural, Suburban, and

Socioeconomic Status and Book Reading Frequency: Independence Test

A survey of 600 individuals collects data on their socioeconomic status (Low, Medium, High) and book

Test for Independence: Music Preference and Age Group

A survey of 300 individuals recorded their favorite music genre (Rock, Pop, Classical) and age group

Voter Turnout by Age Group Homogeneity Test

A political scientist wants to compare voter turnout (Yes, No) across three age groups: Young, Middl

Voting Methods: Chi-Square Goodness-of-Fit

In a local election, voters could choose from three voting methods: In-person, Mail-in, and Online.

Voting Patterns and Ballot Measure Support

A survey of 400 voters categorizes responses by party affiliation and support for a ballot measure.

Workplace Safety Compliance

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

Advertising Budget and Sales Revenue

A company collected data on weekly advertising expenditure ($$x$$, in thousands of dollars) and corr

Advertising Data: Predicting Sales

A company wants to study how advertising spending (x, in thousands of dollars) affects product sales

Advertising Expenditure and Product Sales

An economist investigates whether advertising expenditure (in millions of dollars) predicts product

Advertising Reach and Customer Acquisition

A digital marketing analyst studies the relationship between the number of advertising impressions (

Age and Reaction Time Study

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

Car Mileage and Weight

A study examined the relationship between the weight of a car (in pounds) and its fuel efficiency me

Clinical Trial Dosage-Response Simulation

A medical researcher investigates the relationship between the dosage of a new medication (in mg) an

Crop Yields and Fertilizer Usage

Agricultural researchers are investigating the effect of fertilizer amount (in kg per hectare) on cr

Customer Wait Time and Satisfaction Ratings

A call center is analyzing whether average wait time ($$x$$, in minutes) affects customer satisfacti

Diet Plans and Weight Loss

A nutritionist compares the effectiveness of two diet plans by analyzing weight loss (in pounds) ove

Effect of Study Habits on Exam Scores

Researchers are studying whether the number of extra study sessions (x) is related to improvement in

Environmental Pollution and Distance Simulation

An environmental scientist is investigating how the concentration of a pollutant (in ppm) changes wi

Examining Crop Yield from Rainfall

Researchers are investigating the relationship between the amount of rainfall (in inches) during the

Fitness Tracker Study: Daily Steps and Weight Change

A fitness study examined whether daily steps (x, in thousands) predict weekly weight change (y, in p

Fuel Efficiency and Car Weight

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

Hours of Training and Athletic Performance

A sports scientist examines the relationship between hours of training per week ($$x$$) and athletic

House Price Prediction Simulation

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

Impact of Fertilizer Type on Plant Growth

A researcher is studying the effect of two different fertilizers on plant growth. The amount of fert

Impact of Outliers on Slope Simulation

A statistician is studying the relationship between weekly physical activity (in minutes) and weight

Marketing Spend and Customer Footfall

A retail company is examining whether there is a relationship between local advertising expenditure

Medication Dosage and Recovery Time

A clinical trial explores the impact of a new drug's dosage (measured in mg) on recovery time (measu

Online Course Hours and Final Grades

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

Rainfall and Crop Yield

An agricultural study investigates the relationship between total rainfall (in inches) during the gr

Relationship Between Study Hours and Exam Scores

A school counselor is investigating the relationship between the number of hours a student studies a

Sleep Duration and Reaction Time

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

Sleep Hours and Reaction Time

A psychology experiment studies the effect of sleep duration (in hours) on reaction time (in millise

Social Media Usage vs GPA

A researcher analyzed the relationship between weekly hours spent on social media and college GPA us

Student Performance and Study Hours

Researchers examine the relationship between hours studied (x) and exam scores (y). The regression a

Temperature and Electricity Usage

A utility company is studying the relationship between the average outside temperature (in °F) and t

Vehicle Weight and Fuel Efficiency

A study investigates the relationship between vehicle weight (in pounds) and fuel efficiency (in mil

Water Usage and Crop Yield

An agricultural scientist is studying the relationship between water usage (in cubic meters per acre