AP Statistics FRQ Room

BMI and Blood Pressure Regression Analysis

A study examines the relationship between body mass index ($$BMI$$) and systolic blood pressure for

Calculating Variance and Standard Deviation for Book Counts

The numbers of books read by 10 students in a month are recorded as: {3, 4, 2, 5, 6, 4, 3, 3, 4, 5}.

Central Limit Theorem Verification via Simulation

A researcher has a negatively skewed population and uses simulation to draw 1000 samples of size $$n

Comparative Analysis using Stem Plot and Histogram

Two groups of students took a standardized test. Group A's scores have a five-number summary: minimu

Comparing Pass Rates for Two Classes

In a high school, two math classes took the same standardized test. In Class 1, 28 out of 35 student

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 Sample Size on the Sampling Distribution in Temperature Data

A meteorologist is studying daily high temperatures in a city over the summer. The temperatures are

Home Run Distance Analysis

A study measured the distances (in feet) of home runs at 13 ballparks using the following data set:

Home Run Distances in Ballparks

The following set of home run distances (in feet) to center field in 13 ballparks is given: {387, 40

Impact of an Outlier on Summary Statistics

Consider the data set $$\{4, 5, 6, 7, 50\}$$. Answer the following:

Impact of Incentives on Survey Participation

A market survey was carried out with two groups: one received an incentive and the other did not. In

Investigative Task: Public Park Usage Study

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

Marketing Campaign Reach by Region

A company tracked responses to a marketing campaign in two regions (Region 1 and Region 2) categoriz

NBA Wins: Analyzing Back-to-Back Stem Plots

A back-to-back stem plot displays the number of wins for NBA teams from the Eastern and Western Conf

New York City Taxi Mileage Distribution

Taxicabs in New York City are driven an average of 75,000 miles per year with a standard deviation o

Online Examination Scores

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

Online Shopping Preference by Age Group

An online survey collected responses about shopping behavior by categorizing respondents into age gr

Online vs. In-Person Instruction on Language Course Retention

An educational study is designed to compare the effectiveness of online versus in-person instruction

Opinions on School Start Times

Two high schools surveyed their students to determine whether they favor a later school start time.

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

Retail Store Daily Sales Analysis

A retail store recorded its daily sales (in dollars) over a 30-day period. The summarized five-numbe

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 Sample Range for SAT Scores

A statistician is studying SAT scores whose distribution is known to have a certain degree of variab

Simulation and Transformation Effects on the Sampling Distribution

A researcher studying bacterial growth rates, which follow an exponential distribution, collects dat

Simulation of Taxi Annual Mileage Sampling Distribution

A researcher is investigating the annual mileage driven by taxi cabs in a metropolitan area. The pop

Sports Performance: Basketball Free Throws

A basketball player makes free throws with a success probability of 75%. In a game, she attempts 20

Stock Price Outlier Analysis

Consider the summarized daily stock prices (in dollars) of a company given by the following five-num

Student Major and Internship Status

A study of 200 college students recorded their major (STEM or Non-STEM) and internship status (Had I

Survey Response Methods Comparison

A survey was administered using two methods: telephone and online. In the telephone survey, 115 out

Temperature and Reaction Rate Regression

A chemical kinetics experiment measured the reaction rate (in mol/sec) at different temperatures (in

University Course Selection by Gender

A university survey of 300 students recorded their course selection (STEM or Humanities) and gender

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

Coffee Shop Sales Analysis

A local coffee shop has recorded data on daily advertising expenditure (in dollars) and the correspo

Comparing Two Online Learning Platforms

An education technology firm wants to compare two online learning platforms to determine which one l

Customer Satisfaction and Purchase Frequency

A retail store surveyed 80 customers and found that the satisfaction rating (on a scale of 1-10) pre

Customer Satisfaction Survey

A retail store surveyed customers regarding their visit frequency (Frequent vs. Infrequent) and over

Designing an Observational Study: Screen Time and Sleep Quality

You are tasked with designing an observational study to investigate the relationship between daily s

Employee Training Effectiveness

A company evaluated the effectiveness of two training methods by measuring subsequent job performanc

Environmental Awareness Survey

A survey was conducted to explore the relationship between recycling habits and environmental concer

Evaluating Coefficient of Determination in Athletic Performance

A study examining the relationship between weekly training hours (x) and athletic performance score

Evaluating Housing Market Trends Through Transformation

A real estate analyst studies the relationship between house square footage (x) and sale price (y, i

Exercise and Stress Investigation

A health research team collected data from 40 adults regarding their weekly exercise hours (quantita

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

Free Throw Performance in Basketball

A basketball player has a true free throw success rate of $$80\%$$. In one game, the player attempts

Health Study on Diet and Activity

A health study investigated the relationship between diet type (Vegetarian vs. Non-vegetarian) and a

Impact of a New Study App on Academic Performance

A technology company has developed a new study application intended to improve academic performance.

Internet Usage and Credit Card Fraud

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

Least Squares Regression for Predicting House Prices

A real estate analyst collected data on several houses detailing their square footage (X) and corres

Marketing Survey: Advertising Budget vs. New Customers

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

Museum Visits and Visitor Satisfaction

A local museum surveyed 40 visitors about the number of times they visited the museum in the past ye

Predicting Fitness Improvement from Exercise Duration

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

Relationship between Advertising Spend and Sales

A company examines the effect of advertising spend (in thousands of dollars) on product sales (in th

Smartphone Brand Loyalty

A market survey examined customer satisfaction across three smartphone brands (Brand X, Brand Y, and

Social Media Engagement Analysis

A study examines the relationship between the number of posts an individual makes per day (x) and th

Sports Performance: Height vs. Weight Analysis

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

Study Time and Test Scores Relationship

A teacher collected data on the number of hours 25 students studied for a final exam and their corre

Tech Company Productivity Analysis

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

Voter Turnout by Gender

A political survey was conducted to study voter turnout by gender. The survey recorded whether respo

Workforce Diversity Study

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

Analysis of Boxplots from an Experiment on Pulse Rates

Researchers conducted an experiment comparing the effects of three beverages (coffee, caffeinated co

Analyzing Student Study Habits

A high school conducted a study comparing student performance based on their method of studying. The

Analyzing the Effect of Study Habits on SAT Scores

A study compared SAT scores of two groups of students. The group using flashcards (Group F) had 50 s

Bias in Random Digit Sampling

A researcher uses random digit dialing to contact households for a survey. However, certain demograp

Bootstrapping the Sampling Distribution of a Mean

A researcher has collected exam scores from 15 students and wishes to estimate the sampling distribu

Cluster Sampling in Educational Research

A researcher wants to study academic performance across a large school district. The district is div

Comparing Prospective and Retrospective Data Collection in Education Studies

A school district wants to study the impact of extracurricular activities on academic performance. T

Comparing Stratified and Cluster Sampling Methods in a Health Survey

A public health researcher is designing a survey to assess attitudes toward vaccination in a multi-n

Comparing Treatment Efficacy in a Retrospective Study

A retrospective observational study was conducted to examine the efficacy of two treatments for a pa

Designing a Randomized Controlled Trial for a New Drug

A pharmaceutical company is preparing to test the efficacy of a new drug intended to lower blood pre

Effect of Outliers on Sampling Distributions

In statistical analysis, outliers can notably influence the results of a study. Answer the following

Evaluating Bias in a Sampling Process: Voluntary Survey

A city council conducts a voluntary online survey regarding community safety. Out of 150 responses,

Evaluating the Effectiveness of a New Drug

A clinical trial compared a new drug with a placebo regarding patient recovery. The data are summari

Factorial Experiment on Study Hours and Tutoring

A study is conducted to examine the effects of study hours and tutoring on student test scores. Stud

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 Sales Revenue

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

Influence of Outliers on the Sampling Distribution of the Sample Median

In studies of household incomes, extreme high incomes (outliers) can heavily influence the sample me

Interpreting a Scatterplot from a Survey on Sleep and Test Scores

A study surveys high school students regarding their average nightly sleep (in hours) and their most

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

Lottery Wins and Rare Event Probability

In a lottery, the probability of winning a small prize is 0.001 for each ticket. If 10,000 tickets a

Matched Pairs Design in Educational Research

A school district is evaluating two teaching methods by having the same students experience both met

Placebo-Controlled Experiment in Nutritional Supplements

Researchers are studying the effect of a new nutritional supplement on muscle recovery times. Partic

Remote Learning Effectiveness

At a high school, the impact of transitioning to remote learning on student test scores is studied u

Retail Store Checkout Efficiency Study

A study compared the average waiting time at checkout between two methods in a retail store. For the

Scatterplot Analysis and Regression Line Interpretation

A researcher investigates the relationship between the number of hours studied (x) and exam scores (

Screen Time and Anxiety Levels

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

Simulating Cluster Sampling and its Effects on the Sampling Distribution

A health survey is conducted using cluster sampling by selecting several schools from a district and

Simulating Sampling Distributions for Quality Control in Manufacturing

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

Simulating the Sampling Distribution of Exam Scores

A teacher is interested in understanding the variability of exam scores in her class. The population

Simulation of the Sampling Distribution of the Sample Variance

A researcher runs a simulation to approximate the sampling distribution of the sample variance from

Smartphone Usage and Sleep Quality

Examine the relationship between smartphone usage and sleep quality among college students. Research

Survey on Public Opinion Regarding Public Transit

A survey of 200 city residents was conducted to assess support for an increase in public transit fun

Understanding Sampling Error through Repeated Sampling

A researcher repeatedly draws independent simple random samples of size 50 from a large population w

Voter Behavior: Support for Policy X Among Different Age Groups

A political survey measured support for Policy X among two age groups. In a sample of 150 young vote

Ad Spend and Market Share Regression Analysis

A market analyst investigates the relationship between advertising spend (in millions of dollars) an

Casino Free Chips: Pooling Strategies

At a casino, two individuals each draw a card from separate bags. Bag $$X$$ contains the numbers {$$

City Traffic Speed Analysis

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

Comparing Manufacturing Processes for Defect Reduction

An industrial engineer is comparing two manufacturing processes to determine which one produces fewe

Geometric Distribution: Encountering an Honest Person

Imagine that the probability a randomly encountered man in ancient Greece is honest is $$0.12$$. Let

High School SAT Scores Analysis

A school district collected SAT scores from a random sample of 60 students. The sample mean is $$\ba

Hospital Stay Durations Analysis

A hospital collected data on the length of stay (in days) for patients following a particular surger

Manufacturing Process Downtime

A factory records daily machine downtime (in hours) due to equipment failures according to the follo

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

Restaurant Tip Percentage Analysis

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

Sales Calls Geometric Distribution

A salesperson makes calls until she gets her first sale. The probability of getting a sale on any gi

Simulated Distribution of the Difference of Sample Means

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

Simulating the Expected Value in a Lottery Game

Consider a lottery game with payouts given by the following probabilities: $$P(\$2)=0.5$$, $$P(\$5)=

Simulation in Hypothesis Testing: Generating a Reference Distribution

A researcher employs simulation to generate the sampling distribution of a test statistic under the

Small Business Daily Revenue Analysis

A small business tracked its daily revenue over a period of 30 days. The sample mean daily revenue w

Social Media Post Engagement

A social media analyst is studying the engagement on posts from a popular brand. A random sample of

Software Use in Organizations

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

Startup Daily Profit Analysis

A startup estimates its daily profit with the following outcomes: a loss of $$200$$ dollars (probabi

Store Customer Satisfaction Survey

A popular retail store conducted a survey to measure customer satisfaction. Out of 120 randomly sele

Student Test Scores and Conditional Probabilities

A school's data on test strategies and score ranges is summarized in the tables below. Table 1: Str

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

Transforming Payouts in a Carnival Game

A carnival game pays out according to a random variable $$X$$ with outcomes: $10 (p = 0.4), $20 (p =

University Dining Hall Food Quality Survey

A survey of university dining hall patrons was conducted to assess food quality. Out of 200 responde

Advanced Experimental Design in Teaching Methods

A researcher is investigating the effectiveness of two teaching methods by comparing student test sc

Biased Estimator in Quality Control

A manufacturer uses an estimator to measure the maximum strength of a new material. A simulation of

Blood Pressure Reduction Study

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

Caffeine Content in Energy Drink Boxes

An energy drink manufacturer advertises that each bottle contains on average 200 mg of caffeine with

Central Limit Theorem in Customer Service Times

In a call center, individual call durations are skewed with an average of $$\mu = 5$$ minutes and a

Coffee Bean Package Weight Analysis

A coffee company packages its coffee in bags. The weight of a coffee bag is normally distributed wit

Comparing Class Test Scores

Two independent classes took a standardized test. Class X (with $$n=30$$) had a mean score of 78 wit

Comparing Customer Satisfaction Among Two Stores

A retail chain conducts a study comparing customer satisfaction levels. In store A, 85% of customers

Comparing Pass Rates Between Two Schools

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

Difference in Sample Proportions: Restaurant Experiment

In an experiment to study the effects of environment on eating habits, scientists revamped one of tw

Effect of Sample Size on Sampling Variability

A company monitors customer wait times at a service center. The standard deviation for an individual

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

Evaluating Math Anxiety and Brain Activity

Research estimates that 80% of individuals with high math anxiety exhibit brain activity consistent

Exploring the Sampling Distribution of a Proportion in Smartphone Ownership

In a survey, it is found that 40% of respondents own a smartphone. A random sample of 200 respondent

Hypothesis Testing for a New Drug's Effect on Blood Pressure

A clinical trial is conducted to test the claim that a new drug reduces blood pressure by 10 mmHg. I

Impact of Devices on Online Purchases

A study on online shopping examines whether the type of device used (Mobile or Desktop) is related t

Public Health Study: Vaccination and Illness

In an effort to study the relationship between vaccination status and illness, public health officia

Quality Control of Production Errors

In a manufacturing facility, the number of production errors per day follows a distribution with a m

Sampling Distribution of the Maximum: Weather Temperature Extremes

A climatologist is studying daily maximum temperatures in a city. The theoretical population maximum

Simulated Sampling Distribution for Rare Events

A rare genetic marker is present in only 1% of a large population. A random sample of 200 individual

Social Media Usage by Age Group

A survey examined the social media usage intensity among different age groups. The table below categ

Student Performance and Study Techniques

A study compared two study methods: using flashcards versus summarization. In the flashcards group (

Comparative Study on Voter Turnout in Urban and Rural Areas

A study was conducted comparing voter turnout in urban and rural areas. In an urban sample of 400 re

Comparing Satisfaction Between Two Stores

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

Confidence Interval for Proportion in Market Research

A market research firm surveys 500 consumers and finds that 265 like a new product.

Customer Loyalty Program Impact Study

A retail company introduces a new loyalty program and compares the proportion of customers making re

Drug Effectiveness: Hypothesis Testing for Proportion

A clinical trial involving 200 patients found that 154 recovered after treatment with a new drug. Th

Effect of an Advertisement on Purchase Intent

A company wishes to evaluate the impact of an advertising campaign on purchase intent. Before the ca

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 Vaccine

A pharmaceutical company is testing a new vaccine. In a clinical trial, out of 1500 participants, 13

Effectiveness of a Public Health Intervention: Investigative Task

A public health organization is assessing the effectiveness of a new intervention aimed at increasin

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

Evaluating a Policy Change via Proportion Hypothesis Testing

A city government wants to evaluate the impact of a new traffic safety policy. Before the policy, in

Gender Differences in Product Preference

A market survey was conducted to measure interest in a new gadget. A sample of 400 males showed that

Interpreting a Confidence Interval for Hybrid Learning Preference

At a high school, a survey of 100 students reveals that 40 prefer a hybrid learning model.

Margin of Error Analysis in a Health Survey on Vaccination Acceptance

A health department surveys 800 random individuals about their willingness to receive a new vaccine;

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

Online Shopping Behavior

A survey of customers on an e-commerce website evaluated purchasing behavior across two age groups:

Online Shopping Fraud Claims

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

Physical Activity App Study

A startup company developed a new mobile application aimed at encouraging physical activity. Users a

Political Opinion Poll Analysis

A political poll was conducted to assess support for a proposed tax bill. In a simple random sample

Quality Control in Manufacturing

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

Retail Store Customer Satisfaction Confidence Interval

A retail store conducted a customer satisfaction survey. A random sample of n = 400 customers was se

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

Social Media Usage by Gender

A survey compares social media usage among different genders. In a sample of 400 males, 320 use soci

Sports Participation by Gender and Sport Type

A survey collected data on sports participation, recording the favorite sport type as either 'Team S

Student Housing and Meal Plan

A university surveyed students on their housing situation and meal plan status. Students are classif

Study Habits and Course Success

A professor surveyed 200 students regarding their study habits and exam performance. It was found th

Voter Initiatives on Environmental Policy

In a survey about a new environmental policy, 600 voters were asked whether they support the initiat

Accident Frequency Comparison

An assembly plant records the number of accidents per month in two independent departments over 30 m

Assessing a New Teaching Method

A study compares two teaching methods to assess their impact on student performance. In a randomized

Average Monthly Rainfall

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

Coffee Consumption and Alertness Analysis

The scatterplot below depicts data on the number of cups of coffee consumed per day (x-axis) and an

Coffee Shop Wait Times

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

Comparative Analysis of Blood Pressure Between Population Groups

Public health officials are comparing systolic blood pressure levels between an urban population and

Comparing Average Heart Rates in Two Exercise Regimens

A fitness study compared the effects of two different exercise regimens on heart rate. Group 1 (n =

Comparing Manufacturing Processes

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

Computer Downtime Analysis

A sales representative suspects that his company's computers have higher average non-operational (do

Daily Sales Confidence Interval

A store recorded its daily sales for 30 days, and the sample data yielded a mean of 200 units sold p

Effectiveness of a New Drug

A clinical trial was conducted to determine if a new drug reduces systolic blood pressure. For each

Effectiveness of a New Study Method on Test Scores

A tutoring program is implemented in a school, and the same group of 12 students is tested before an

Election Polling Power Analysis

In an election poll, a candidate claims to have 70% support. A critic believes the true support is 6

Employee Training and Productivity Outcome

A company examines whether the type of training (Online vs. In-person) affects employee productivity

Evaluation of New Teaching Method Using Paired Data

An educational researcher investigates the impact of a new teaching method on student performance. A

Fuel Consumption and Distance Traveled Analysis

The scatterplot below displays data on the gallons of fuel used (x-axis) and the corresponding dista

Impact of Variability on Confidence Intervals: A Simulation Study

A simulation study is conducted to explore how differences in sample variability affect the width of

Manufacturing Process Adjustment

A process engineer is investigating whether an adjustment to a machine can reduce the mean productio

Medical Test Accuracy and Diagnosis

A hospital is assessing the accuracy of a diagnostic test that indicates 'Positive' or 'Negative' re

Monthly Sales Performance Analysis

A retail store assesses the impact of a promotional campaign on monthly sales. The data collected co

Paired SAT Score Improvement

An SAT prep course reports that its students improved their scores. In a sample of 30 students, the

Plant Growth under Different Fertilizers

A botanist is studying the effect of a new fertilizer on plant growth. A random sample of 12 plants

Pre-Test and Post-Test Scores Analysis

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

Production Efficiency Comparison Across Shifts

A factory compares production times between two work shifts. Shift A has a sample mean production ti

Reaction Time Hypothesis Test

A psychologist wishes to test a manufacturer's claim that the average driver reaction time is \(0.8\

Reaction Time One-Sample t-Test

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

SAT Preparation Class Improvement

A tutor runs an SAT preparation class with 25 students. The differences between the post-test and pr

Simulation of Sampling Distribution in Environmental Air Quality

An environmental scientist conducts a simulation study to analyze the sampling distribution of the a

Sodium Intake and Systolic Blood Pressure Analysis

The scatterplot below shows data on individuals' daily sodium intake (in mg, x-axis) and their systo

Analysis of Dietary Habits

A nutrition study investigates whether dietary preferences are homogeneous across four regions. The

Animal Species Distribution in Habitats: Chi-Square Test

Researchers collected counts of three animal species (Deer, Rabbit, Fox) in two habitats. The counts

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

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

Consumer Preference for Advertisement Types

A company believes that consumer preference for advertisement type follows the distribution: Online

Customer Satisfaction Across Regions

A retail chain conducted a survey to assess customer satisfaction in three different regions: North,

Distribution of Housing Types in a City

A city planning department is examining the distribution of housing types in the city. They expect t

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 Job Satisfaction by Department: Chi-Square Test for Homogeneity

A company surveys employees from three different departments (Sales, Engineering, HR) about job sati

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

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 15: Distribution of Wildlife Species in a National Park

Park managers expect that wildlife sightings in a national park follow a certain distribution among

FRQ 19: Comparing Library Usage Patterns Among Departments

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

Homogeneity in Student Class Preferences

Three high schools conducted surveys to determine whether student preferences for online versus in-p

Medal Distribution across Training Groups Homogeneity Test

In a national sports event, athletes from three training groups (Group A, Group B, Group C) competed

Product Defect Rates – Chi-Square Goodness-of-Fit

A quality control engineer hypothesizes that defects in a product occur with equal probability among

Restaurant Popularity Goodness-of-Fit

A local food festival features four types of cuisines: Italian, Chinese, Indian, and Mexican. Organi

Social Media Usage Among Age Groups: Independence Test

A survey of 250 social media users collected data on their primary platform (Facebook, Instagram, Tw

Species Distribution in a Wildlife Reserve

In a wildlife reserve, the theoretical model predicts that the species distribution should be: Mamma

Subscription Plans and Customer Region – Chi-Square Test for Independence

A streaming service collects data on customer region (North, South, East, West) and their chosen sub

Voter Preferences Across Regions: Homogeneity Test

A political analyst surveys 100 voters from each of three regions (North, South, Midwest) regarding

Voter Turnout by Age Group Homogeneity Test

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

Wildlife Habitat Preference: Chi-Square Goodness-of-Fit

Ecologists are studying the distribution of a particular species among four habitat types: Forest, G

Workplace Safety Compliance

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

Advertising Data: Predicting Sales

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

Agricultural Yield Analysis

Agricultural scientists examine the effect of fertilizer application (in kg/ha) on crop yield (in to

Annual Rainfall and Crop Yield

An agricultural researcher is examining the relationship between annual rainfall (x, in inches) and

Bicycle Speed vs Oxygen Consumption

A sports scientist is studying how bicycle speed (in mph) affects oxygen consumption (in ml/min) for

Car Mileage and Weight

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

Coffee Consumption and Alertness

A researcher investigated the relationship between daily coffee consumption (measured in cups) and a

Coffee Consumption and Alertness

Researchers are investigating the relationship between the number of cups of coffee consumed per day

Coffee Consumption and Anxiety Levels

A psychologist investigates whether there is a relationship between the number of cups of coffee con

Daily Study Hours and GPA

Researchers are interested in analyzing the relationship between the number of hours students study

Employee Experience and Salary

A human resources study examines the relationship between years of work experience ($$x$$) and annua

Exercise Duration and Weight Loss

A fitness study explores the relationship between exercise duration (in minutes) and weight loss (in

Fuel Efficiency and Car Weight

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

Housing Price Estimation

A real estate analyst examines the relationship between the age of a house (in years) and its price

Impact of Workout Hours on Body Fat Percentage

A fitness study collected data on the number of hours individuals work out per week (x) and their bo

Marketing Impact: Social Media Activity vs. Product Sales

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

Marketing Spend and Customer Footfall

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

Mobile App Usage Study

A study examines the relationship between time spent on a mobile app (in minutes) and user satisfact

Plant Growth and Fertilizer Amount

In an agricultural experiment, a researcher measured plant height (y, in cm) as a function of fertil

Predicting Ice Cream Sales from Temperature

In a study of 25 summer days, data were collected on daily maximum temperature (x, in °F) and ice cr

River Flow and Pollutant Concentration

Environmental scientists are studying the relationship between river flow ($$x$$, in cubic feet per

Social Media Usage vs GPA

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

Sports Performance: Training Hours and 100m Dash Times

For 20 professional athletes, a regression analysis was performed to predict 100m dash time (y, in s

Student Study Hours and Exam Scores Simulation

A high school teacher is interested in how the number of hours spent studying affects exam scores. T

Temperature and Electricity Consumption

A power company studies the relationship between daily average temperature (in °C) and electricity c

Temperature Impact on Soft Drink Sales

A beverage company studies the relationship between daily high temperatures (x) and soft drink sales

Traffic Flow Analysis: Regression Slope Simulation

A transportation planner is analyzing the relationship between the number of vehicles on a roadway a

Urban vs Rural Pollution Levels

An environmental study examined the relationship between daily traffic volume (in thousands of vehic

Weekly Study Hours vs Exam Scores

A study evaluated the effect of weekly study hours on exam scores (out of 100) for a statistics cour