AP Statistics FRQ Room

Beverage Preference in Two Cities

A beverage company surveyed residents from two cities regarding their favorite drink. In City 1, 180

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 Measures of Variability: IQR vs Standard Deviation

Consider the data set: {12, 15, 18, 21, 24, 27, 30}. Answer the following:

Comparing Sleep Hours: High School vs College

Two surveys were conducted comparing the nightly sleep hours of high school and college students. Th

Cumulative Frequency Analysis of Age Distribution

A study compares the age distributions of two different years using cumulative frequency plots. In Y

Daily Caloric Intake Data Analysis

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

Digital Flashcards vs. Traditional Study for Vocabulary Improvement

A study is conducted to compare the effectiveness of a digital flashcards app versus traditional pap

Digital vs. Traditional Lesson Impact on Class Attendance

A school district is testing whether interactive digital lessons lead to higher class attendance tha

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

Effect of Constant Adjustments on Mean Salary

Consider the salaries (in dollars) of six employees given below: $3,000; $7,000; $15,000; $22,000; $

Effectiveness of a New Drug

A clinical trial is conducted to evaluate the effectiveness of a new drug in improving patient outco

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

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

Impact of Transformations on Data

Consider the following dataset representing test scores: {70, 80, 85, 90, 100}. Answer the followin

Interquartile Range and Boxplot Construction

Given the dataset: {12, 15, 16, 18, 20, 22, 25, 27, 30, 35}, perform an analysis of its distribution

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

Machine Adjustment Methods in Manufacturing

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

Normal Distribution of Taxi Mileage

Taxicabs in a city are driven an average of $$75000$$ miles per year with a standard deviation of $$

Online Retail Customer Spending Analysis

An online retail store collects data on customer spending. In a sample of 60 customers, the mean spe

Product Return Rates Across Regions

A company tracks product returns across four regions (North, South, East, West) with outcomes 'Retur

Public Opinion on School Length: Categorical Data Summary

In a survey of 2000 parents regarding their preference for the length of the school year, the respon

Sampling Distribution of Average Purchase Amount

Individual consumer purchase amounts are normally distributed with a mean of $$50$$ dollars and a st

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 of the Sampling Distribution for the Sample Variance

Consider a normally distributed variable with a true variance of $$\sigma^2 = 16$$. A researcher sim

Stemplot Construction: Analyzing a Data Set

A dataset of 11 numbers is provided as follows: {12, 15, 15, 17, 17, 18, 20, 22, 22, 23, 25}.

Student Test Scores Improvement

A teacher implemented a new teaching method and collected exam scores from 35 students. The sample d

Survey Response Methods Comparison

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

Test Scores Histogram Interpretation

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

Treatment Outcomes in Hospital Study

A hospital conducted a study on two treatments (Treatment X and Treatment Y) to evaluate patient out

University Course Selection by Gender

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

Z-Scores and Height Analysis

A researcher measures the heights of 50 students. It is found that the mean height is 160 cm with a

Analyzing Curvilinear Relationship and Data Transformation

A botanist records the amount of fertilizer applied (x, in grams) and the resulting plant growth (y,

Chi-Square Analysis for Dietary Habits and Exercise Frequency

A nutrition study classifies 300 individuals by their dietary habit (Vegetarian, Non-Vegetarian) and

Coffee Shop Customer Survey Analysis

A coffee shop conducted a survey to determine customer preferences based on the type of beverage and

Complex Survey Analysis: Income and Expenditure Patterns

A national survey collects data on household income (in US dollars) and monthly expenditure (in US d

Constructing a Contingency Table from Raw Data

A researcher surveying 100 individuals collected the following raw counts regarding gender (Male, Fe

Customer Satisfaction Survey

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

Customer Satisfaction: Online vs In-store Shopping

A retail company surveyed its customers about their satisfaction with online versus in-store shoppin

Customer Service Evaluation: Categorical Analysis

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

Dosage and Blood Pressure Reduction

In a clinical trial with 25 patients, the relationship between drug dosage (in mg) and reduction in

Elderly Health Program Evaluation

An evaluation was carried out to assess whether participation in a health program by elderly individ

Email Marketing Response Rates

A company ran two email marketing campaigns and recorded the number of recipients who responded and

Green Energy Adoption and Energy Savings

Data from 35 households were analyzed to study the relationship between the percentage of energy fro

Least Squares Regression for Predicting House Prices

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

Online Ratings and Restaurant Revenue

A restaurant chain collected data on their average online rating (x, on a 5‐point scale) and corresp

Pets and Stress Levels

A study investigated the relationship between the number of pets owned (x) and self-reported stress

Pharmaceutical Dosage Testing

A pharmaceutical company produces tablets designed to contain an active ingredient with a prescribed

Predicting Apartment Rents

A real estate company collected data on apartment sizes (in square feet) and their monthly rents (in

Promotion Program Success Comparison

A company implemented two distinct promotional programs to boost sales. In Program 1, 92 out of 150

Quality Control in a Bakery

A bakery finds that historically 2% of its cookies are too hard. In a sample of $$100$$ cookies, let

Residual Analysis in House Price Prediction

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

Scatterplot Analysis: Teen Social Media Usage

A study collected data on the number of close friends (X) a group of teens reported and the number o

Simulation Study of the Sampling Distribution of the Correlation Coefficient

Researchers are interested in studying the correlation between two variables, X and Y. To assess the

Social Media Activity and Face-to-Face Interactions

In a survey of 40 individuals, data were collected on the number of social media posts per week (x)

Social Media Engagement Study

A social media analyst is comparing the level of high engagement on two platforms. The data collecte

Student Preference Survey

A school conducted a survey to determine students' favorite extracurricular clubs, recording two cat

Student Study Habits and GPA

A high school collects data from a random sample of 30 students to explore the relationship between

Student-Teacher Ratio and Academic Performance

A school district collected data on 20 schools regarding their student-teacher ratio (x) and the ave

Urban Noise and Sleep Quality Study

A study investigated the impact of urban noise level (measured in decibels, x) on individuals' self‐

Website Click-Through Rate

An online advertisement has a click-through probability of $$0.15$$ for each visitor. Suppose that 5

Analyzing Survey Bias in Voluntary Response Surveys

A local newspaper conducts a voluntary response survey asking residents about their satisfaction wit

Bias in Random Digit Sampling

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

Cluster Sampling in Educational Research

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

Cluster Sampling in Educational Research

A school district administrator wants to assess students' attitudes toward a new curriculum. To redu

Cluster Sampling in Educational Testing

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

Comparing Disease Incidence in Two Regions

A public health study investigated the incidence of a particular disease in two regions. In Region A

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 Test Scores Between Two Teaching Methods

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

Comparison of Test Preparation Courses on SAT Scores

A high school is comparing the effectiveness of two different test preparation courses on improving

Designing a Prospective Study for Teaching Methods

A school district wants to study the effect of a new teaching method on student performance on stand

Designing a Stratified Sampling Plan for College Demographics

A university wants to estimate the average GPA for all its students. Given that the student populati

Double-Blind Experiment Design for Nausea Reduction

A research team is testing a new wristband designed to reduce postoperative nausea. To eliminate pla

Ebola Outbreak Study

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

Effect of Outliers on Sampling Distributions

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

Flu Vaccination Campaign and Illness Spread

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

Impact of a Training Program on Employee Productivity

A company measured employee productivity before and after a new training program. Two independent sa

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 $

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

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

Measurement Reliability in Climate Data Collection

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

Participation in Extracurricular Activities

A school examines its students' participation in extracurricular activities by grade level (Junior v

Random Assignment in a Placebo-Controlled Medical Trial

A medical researcher plans a clinical trial to test the effectiveness of a new drug for migraine rel

Remote Learning Effectiveness

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

Replication in Experimental Designs: Water Purification Study

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

Retrospective Study Analysis on a Health Outbreak

Epidemiologists are conducting a retrospective study on a past health outbreak by analyzing existing

Simulation of the Law of Large Numbers

A classic coin-flipping experiment is simulated to illustrate the Law of Large Numbers. In the simul

Social Media Use and Academic Performance

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

Systematic Sampling in a Traffic Accident Study

A city transportation department wants to assess the frequency of traffic accidents at intersections

Temperature and Ice Cream Sales: A Summer Analysis

During the summer, a study was undertaken to analyze whether higher daily temperatures increase ice

Urban Green Spaces and Air Quality

An urban planning study is being conducted to determine whether proximity to green spaces is associa

Apartment Rental Prices Estimation

A real estate researcher is studying monthly apartment rents in a metropolitan area. In a random sam

Basic Probability Rules in Testing Strategies

A standardized test uses different strategies when a student is uncertain about an answer. The table

Casino Free Chips Expected Sum

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

Charity Lottery Expected Value Analysis

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

Comparing Average Test Scores of Two Teaching Methods

A study compares the effectiveness of two teaching methods in a school. Traditional teaching was use

Comparing Simulation Results for Rainy Days

A simulation study recorded weather in two cities over a 30-day month. The results are as follows:

Defective Light Bulb Binomial Probabilities

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

Evaluating a Mobile App to Promote Healthy Eating

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

Exercise Time and Cholesterol Level Regression Analysis

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

First Purchase on a Website (Geometric Distribution)

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

Fuel Efficiency Comparison between Two Vehicle Models

An automotive study compared the fuel efficiency of two car models. Model X was tested on 30 cars, y

Highway Construction Work Analysis

A highway engineer observes that on a clear day, workers can lay $$5$$ miles of highway; on a rainy

Household Income and Entertainment Expenditure Regression Analysis

A survey of households examines the relationship between monthly income (in dollars) and monthly spe

Influence of Diet on Blood Pressure

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

Lottery Expected Value

A charity lottery sells 5000 tickets at $$\$2$$ each. One winning ticket receives a prize of $$\$500

Multi-center Clinical Trial for a New Vaccine

A large-scale clinical trial is conducted across several hospitals to evaluate the efficacy of a new

Public Opinion Survey on Local Issues

A political analyst is conducting a survey to gauge public opinion on various local government polic

Random Variable Transformation in a Carnival Game

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

Stock Market Daily Returns

A particular stock’s daily percentage return is modeled by a discrete random variable with the follo

Store Customer Satisfaction Survey

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

Student Exam Score Distribution

An exam produces scores in the following intervals with corresponding percentages. Use the midpoints

Suit Name Letter Count

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

Understanding the Central Limit Theorem through Simulation

A simulation is performed where samples are drawn from various non-normal populations (for example,

Virus Spread Modeling among Animal Species

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

Voting Behavior in Local Elections

A local election study collected data on voting behavior by political ideology. The summary is as fo

Weather Temperature and Ice Cream Sales Regression Analysis

A vendor investigates the relationship between daily temperature (in °F) and ice cream sales (in dol

Website Conversion Rates: A/B Testing

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

Website Redesign and Sales Conversion Rates

A company tested its website performance before and after a redesign. The old design resulted in 90

Website Server Demand Modeling

Historical data for a website shows that the daily number of server requests (in thousands) follows

Assessing Bias in Weight Measurements

A shipping company is evaluating three different types of scales (A, B, and C) for measuring package

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

Bootstrapping and the Sampling Distribution of the Mean

A researcher collects daily sales data from a small store over 30 days. The observed sample mean is

Comparing Average Temperatures in Two Cities

City A has an average temperature of 70°F with a standard deviation of 5°F based on a sample of 50 d

Comparing Class Test Scores

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

Comparing Mean Reaction Times Between Two Groups

A psychological study compares reaction times under two conditions. Group A (n = 40) has a mean reac

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 Teaching Methods

A study compares the effectiveness of two teaching methods. For classes using Method A, test scores

Constructing a 95% Confidence Interval for Battery Lifetime

A quality control study tests the lifetimes of batteries. A random sample of 50 batteries has a samp

Effect of Outliers on Sampling Distributions

A data set of 50 observations is known to have a mean of $$100$$ and a standard deviation of $$15$$.

Election Polling Proportions

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

Environmental Study: Tree Heights

A biologist is studying tree heights in a forest. Although individual tree heights are not normally

Evaluating Biased and Unbiased Estimators

A quality control manager is evaluating five different estimators (labeled A through E) for estimati

New Drug Effect on Blood Pressure Reduction

A clinical trial is evaluating a new drug that is believed to reduce blood pressure. Historically, t

One-Sample vs. Two-Sample Sampling Distributions

A study is conducted to assess the effectiveness of a new teaching method. Two groups of 40 students

Quality Control in Baseball Production

A sports manufacturing company uses five different estimators (A, B, C, D, and E) to estimate the we

Sample Size Calculation for Voter Support Estimation

A political survey aims to estimate the proportion of voters supporting a specific candidate with a

Using invNorm in Sampling Distributions: Statistical Thresholds

Scores on a standardized test are normally distributed with a mean of $$\mu = 500$$ and a standard d

Air Quality Health Survey Design

A public health department is conducting a survey to estimate the proportion of residents suffering

Assessing New Advertising Campaign Effectiveness

A company runs a new advertising campaign. Out of 400 customers, 160 made a purchase within 24 hours

College Acceptance Rate Comparison

Two high schools wish to compare college acceptance rates. School X admitted 75% of its applicants o

Comparing Proportions in Education Methods

A study compares pass rates for students taught by two different methods. For Method A, 96 out of 12

Confidence Interval for a Population Proportion

A public opinion poll designed to estimate the proportion of voters who support a new policy produce

Estimating Social Media Usage Proportions

A research study surveyed 750 social media users to estimate the proportion who use a specific app d

Evaluating Trends in Graduation Rates

Over a span of 10 years, a school district has recorded the annual graduation rates. A scatterplot o

Extremely High Support Rate Survey Analysis

In a survey of 500 voters, 485 express support for a new measure, resulting in a very high sample pr

Impact of Training Program on Certification Rates

A company implemented a training program to improve certification rates among its employees. In a ra

Marketing Campaign Response Rate Test

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

Marketing Survey: Brand Loyalty Across Regions

A marketing survey compares brand loyalty across two regions. In Region 1, 210 out of 300 respondent

Measuring Customer Preferences

A market survey was conducted on customer preferences for two competing brands. For Brand X, 300 cus

Online Shopping Behavior

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

Opinion Poll on Environmental Policy

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

Political Polling: Candidate Approval

Two independent polls were conducted to assess approval ratings for a political candidate. Poll 1, s

Political Polling: Estimating Voter Support

In a random sample of 800 voters, 464 indicated support for Candidate A. Answer the following questi

Public Health: Influenza Vaccination Rates

A public health study compares influenza vaccination rates between urban and rural areas. In urban a

Public Opinion on Policy Change

A survey is conducted on a new tax policy. In a simple random sample of 500 voters, 260 indicated th

Public Transit Usage

A city planning study compares the proportion of residents using public transit in two cities. City

Quality Control in Manufacturing

A manufacturing quality control team is checking the proportion of defective items in a production b

Quality Control in Manufacturing

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

R&D Investment Success Rate

Two companies are comparing the success rates of their R&D investments. Company X had 100 projects w

Reading Program Impact Study

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

Research on Smoking Cessation Program

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

School Intervention Study

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

Social Media Influence Study

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

Survey Analysis: Confidence Interval for College Students' Online Class Preference

A survey of college students was conducted to estimate the proportion of students who prefer online

Traffic Accident Analysis

A study on traffic accidents examined the severity of accidents (Severe vs. Minor) and the driver’s

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

Urban vs. Suburban Crime Reporting Rates

A survey was conducted to compare feelings of safety in urban and suburban areas. In an urban sample

Vaccine Acceptance Rates

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

Voter Initiatives on Environmental Policy

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

Voting Patterns on Renewable Energy

A survey was conducted in two states regarding support for renewable energy initiatives. In State X,

Web Advertisement Click-Through Rates

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

Analyzing Machine Production Tolerances

In a manufacturing process, 15 measurements of a product dimension are recorded. The sample has a me

Battery Lifespan Comparison

Two battery manufacturers are being compared based on the lifespan of their batteries. For Manufactu

Blood Pressure and Sodium Intake Regression

A study investigates the relationship between daily sodium intake (in mg) and systolic blood pressur

Blood Pressure Reduction Confidence Interval

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

Caffeine Consumption and Reaction Times

A study aims to determine whether the consumption of caffeine affects reaction times. Two independen

Customer Satisfaction at Two Store Branches

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

Difference in Mean Cholesterol Drop between Diet Plans

A nutritional study compares two diet plans. For Diet A, a sample of 50 participants shows an averag

Effectiveness of an Online Learning Platform

An online learning platform claims that students using it achieve an average course score of at leas

Experience and Salary Analysis

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

Fuel Efficiency Analysis

A study is conducted to assess the fuel efficiency (in miles per gallon) of a new model of cars. A r

Impact of a Diet Program on Weight Loss

A weight loss study measures the weight of 20 participants before and after a 6‐week diet program. T

Investigating Student Reaction Times

A psychologist studies the reaction times of 30 college students using a computerized test. The meas

Paired SAT Score Improvement

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

Pre- and Post-Intervention Test Score Analysis

An educational researcher wants to evaluate the effect of a new study program on student performance

Simulation of Sampling Distribution for Mean Crop Yield

An agricultural researcher is interested in the average crop yield (bushels per acre) of a particula

Simulation of Sampling Distribution in Environmental Air Quality

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

Study Hours and Test Scores

A teacher implements a new study method to improve student performance. Eight students are tested be

Tennis Serve Speeds

A sports scientist is analyzing the serve speeds (in km/h) of a professional tennis player. A random

Testing Mean Daily Coffee Consumption Claim

A claim is made that college students drink an average of at least 2.5 cups of coffee per day. A sur

Workplace Wellness Program Evaluation

A company evaluates its workplace wellness program by comparing the health outcomes of employees who

Yearly Comparison of Mathematics Test Scores

A school wishes to compare average mathematics test scores between two academic years. The data is s

Academic Majors and Study Habits

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

Analyzing Website Navigation: Chi-Square Test for Independence

A study examining whether the navigation path taken on a website is related to the type of device us

Bike-Sharing User Gender Distribution Goodness-of-Fit Test

A bike-sharing company claims that the gender distribution of its users is 60% male and 40% female.

Book Genre Popularity Study

A survey by a local library aims to determine if the popularity of book genres matches the library's

Candy Color Distribution: Chi-Square Goodness-of-Fit Test

A candy manufacturer claims that the distribution of colors in a bag of candies is as follows: red 2

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 Satisfaction Across Store Branches: Homogeneity Test

A retail chain with three branches (A, B, and C) surveys customer satisfaction with three response c

Die Fairness: Goodness-of-Fit Test

A six-sided die was rolled 120 times with the following observed frequencies: Face 1: 10, Face 2: 20

Dietary Preferences Among Age Groups: Chi-Square Test for Independence

Nutritionists surveyed 300 individuals to examine if dietary preference (Vegetarian, Non-Vegetarian)

Extracurricular Participation and Academic Performance Independence Test

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

FRQ 1: Distribution of Customer Preference for a New Snack

A snack company claims that the preferences for flavors of its new snack follow the proportions: Fla

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 12: Employee Training Program and Job Promotion

A company is investigating the effectiveness of its training program on job promotions. The collecte

Independence Test: Technology Adoption and Age Group

A survey of 600 consumers categorized by age group (Young, Middle-aged, Senior) recorded whether the

Job Satisfaction Among Departments: A Homogeneity Test

A company sampled employees from four departments (A, B, C, D) to record job satisfaction. The data

Political Polling: Party Affiliation and Issue Stance

A national poll cross-classifies respondents by party affiliation (Democrat, Republican, Independent

Quality Control in a Factory

A factory has three production lines, each producing 100 items. Quality control involves checking fo

Quality Control: Defective Items in Production Lines

A factory operates 4 production lines. It is believed that the proportion of defective items is the

Simulated Data: Random Number Generator Uniformity Test

A random number generator produced 1000 numbers that were binned into 10 equal intervals. The observ

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)

Student Enrollment by Gender and Major: Chi-Square Test for Independence

A university is investigating if student major (STEM, Arts, Business) is independent of gender (Male

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

Survey on Preferred Modes of Transportation

A city survey investigates residents’ preferred modes of transportation. The city’s transportation m

Survey Response Distribution Goodness-of-Fit Test

A survey on public opinion regarding a new policy asks respondents to choose among Agree, Neutral, a

Voter Preferences Among Four Candidates – Chi-Square Goodness-of-Fit

An election poll of 800 voters reports the following counts for four candidates: Candidate A: 220, C

Advertising Spending and Sales Revenue

A company collected data on its monthly advertising spending (in thousands of dollars) and correspon

Altitude and Cooking Time

Researchers are studying the effect of altitude ($$x$$, in meters) on cooking time ($$y$$, in minute

Automobile Fuel Efficiency

A study analyzes the effect of engine displacement (in liters) on fuel efficiency (measured in miles

Biomarker Levels and Disease Severity Simulation

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

Coffee Bean Price and Quality Score

A coffee connoisseur collected data on the price per pound of specialty coffee beans (x, in dollars)

Comparing Slopes for Tutoring Effects on Test Score Improvement

A school district evaluates the effect of after-school tutoring on test score improvement for studen

Consumer Spending and Income Levels

An economist analyzed data from 60 households to study the relationship between household income (x,

E-Commerce Website Traffic and Sales

An online retailer analyzes the relationship between daily website traffic (in thousands of visits)

Educational Study: Supplemental Tutoring Effect

A school district wants to assess the impact of additional tutoring (x, in hours per week) on math t

Effect of Class Size on Student Achievement

An education researcher examines data from 50 classrooms to study the relationship between class siz

Effect of Experience on Salary

A company collected data on employees' years of professional experience (x, in years) and their annu

Electricity Bill vs Temperature

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

Evaluating the Impact of Work Experience on Promotion Rate

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

Exam Scores vs Hours Studied

A study collected data on the number of hours studied (x) and exam score (y) for 20 students. A scat

Exercise Time and Calorie Burn

A fitness app tracks the number of minutes spent exercising (x) and the number of calories burned (y

Global Temperature Change

A climatologist studies the relationship between time (measured as years since 1900) and the average

Influence of Advertising Budget on Sales

A firm is investigating the effect of its advertising budget (in thousands of dollars) on weekly sal

Manufacturing Quality Control

A quality control engineer investigates the relationship between machine operation time (in hours) a

Marketing Campaign Effectiveness Simulation

A marketing analyst is examining the relationship between advertising spending (in dollars) and sale

Medical Dosage and Blood Pressure Response

A clinical trial tests the impact of a new medication dosage ($$x$$, in mg) on blood pressure reduct

Online Engagement and Sales Conversion

An e-commerce analyst studied the relationship between average time spent on a website (in minutes)

Practice Time and Music Performance Skill

A study investigates the effect of weekly practice hours ($$x$$) on a music performance skill score

Rainfall and Crop Yield

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

River Flow and Pollutant Concentration

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

River Pollution Levels and Industrial Activity

An environmental scientist is investigating whether the level of industrial activity along a river (

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

Technology Training and Productivity

A technology company wants to know if the number of training hours (x) influences employee productiv

Urban vs Rural Pollution Levels

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