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Statistical Methods Overview Quiz
28 Questions
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Statistical Methods Overview Quiz

Created by
@RadiantLaplace9461

Questions and Answers

What statistical method can be used to estimate the average difference between before and after heart rates when studying the impact of a dancing video game?

  • Two-sample t-test for the difference of means
  • Paired t interval for mean difference (correct)
  • x^2 goodness of fit test
  • Z test for proportion

    • Which test is used to analyze the relationship between customers' transportation methods and purchase behavior?

  • x^2 test of independence (correct)
  • Two-sample t-test
  • Z-test for mean
  • Slope test

    • What statistical method can determine if the rarity levels of trading cards follow the expected distribution?

  • Z interval for proportion
  • x^2 goodness of fit test (correct)
  • A paired t-test
  • Two-sample z-test

    • What method does Lylah use to estimate the percentage of users using her updated app?

    <p>Z interval for proportion</p> Signup and view all the answers

    What statistical test is Raul using to determine if avocado prices differ between his city and his brother's city?

    <p>Two-sample t-test for the difference of means</p> Signup and view all the answers

    What test is used to analyze the relationship between the time students spent on their midterm exam and their scores?

    <p>Slope test</p> Signup and view all the answers

    An administrator wants to estimate the average number of questions correct on a driver's license test. What statistical method should they use?

    <p>t interval for a mean</p> Signup and view all the answers

    What statistical method can researchers use to compare the Apgar scores of first-born and second-born twins?

    <p>Paired t-test for the mean difference</p> Signup and view all the answers

    Which statistical method can determine if the color distribution of Ying’s candy varieties is the same?

    <p>x^2 test for homogeneity</p> Signup and view all the answers

    What method can be used to see if chosen random numbers are uniformly distributed?

    <p>x^2 goodness of fit test</p> Signup and view all the answers

    What statistical test should be used to investigate if the proportion of foreign-born citizens has changed?

    <p>Z-test for proportion</p> Signup and view all the answers

    What statistical method is Julian using to analyze the outcomes of his bottle-flipping with both hands?

    <p>Two-sample z-test for the difference of proportions</p> Signup and view all the answers

    Felipe is studying the relationship between age and marathon finish times. What type of statistical test does he use?

    <p>t-test for slope</p> Signup and view all the answers

    How can the average session length of a website's users be compared before and after a redesign?

    <p>t-test for mean</p> Signup and view all the answers

    What statistical method does the swimming team coach use to evaluate if new swim caps improve speed?

    <p>Paired t-test for the mean difference</p> Signup and view all the answers

    What test is used to study the relationship between age and media streaming preferences?

    <p>x^2 test of independence</p> Signup and view all the answers

    What method does Paulo use to compare the distribution of respondents' continents to the actual population distribution?

    <p>x^2 goodness of fit test</p> Signup and view all the answers

    If a principal suspects that over 50% of students bring lunch from home, what test should they use?

    <p>Z-test for proportion</p> Signup and view all the answers

    What statistical method will researchers use to estimate differences in diagnostic test scores?

    <p>Paired t-interval for the mean difference</p> Signup and view all the answers

    What method can Rex use to estimate the average finishing time in a marathon?

    <p>t interval for mean</p> Signup and view all the answers

    What statistical method does Angelica use to estimate vegetarianism rates in two different age groups?

    <p>Two-sample z-interval for the difference of proportions</p> Signup and view all the answers

    If Tabitha wants to see if phone color distributions are equal, what statistical method should she use?

    <p>Goodness of fit</p> Signup and view all the answers

    A school counselor wants to see if students sleep less than 8 hours a night. What test should they use?

    <p>t test for mean</p> Signup and view all the answers

    What statistical method does Harisha study to observe relationships between apartment size and rent?

    <p>Slope</p> Signup and view all the answers

    What methodology can Marta use to investigate the impact of website navigation changes?

    <p>Homogeneity</p> Signup and view all the answers

    Which interval does Finn use to estimate the drop rate of an item in a video game?

    <p>Z interval for proportion</p> Signup and view all the answers

    What statistical method is used to compare average weights of different egg sizes?

    <p>Two-sample t-interval for the difference of means</p> Signup and view all the answers

    Kiera is researching social media usage and sleep. What test does she use?

    <p>Slope test</p> Signup and view all the answers

    Study Notes

    Statistical Methods Overview

    • Paired t-interval is used to estimate the average difference in heart rates before and after playing a dancing video game from a sample of 15,515 subjects.

    • The chi-square (χ²) test of independence investigates the relationship between customer transportation methods and purchase behavior using a sample of 100 customers.

    • The chi-square goodness of fit test is applied to evaluate the distribution of rarity levels in trading cards based on a sample of 500 cards.

    • A z-interval for proportion estimates the percentage of app users utilizing an updated version through a random sample.

    Comparing Groups

    • A two-sample t-test assesses the difference in avocado prices between two cities, with each brother sampling shops in their respective locations.

    • A slope test examines the correlation between time spent on a midterm exam and scores, based on random observations of students.

    • A t-interval for a mean estimates the average number of correct answers on a multiple-choice driving test from a sample of 100 applicants.

    Testing Differences Between Means

    • A paired t-test analyzes differences in Apgar scores between first and second-born twins, using data from 20 sets of identical twins.

    • A chi-square test for homogeneity compares color distributions of candies with and without peanuts based on tallied results from large sample bags.

    • A chi-square goodness of fit test checks if individuals' selections of random numbers match a uniform distribution from a sample of 100 people.

    Proportional Relationships

    • A z-test for proportion evaluates the current percentage of foreign-born citizens in the US against a prior census figure from a random sample of 1,000 citizens.

    • A two-sample z-test for proportions measures success rates of bottle-flipping with either hand based on attempts made by Julian.

    Exploring Correlations

    • A t-test for slope investigates the relationship between a runner's age and their marathon finishing time, using a random sample of finishers.

    • A t-test for mean determines if a website's average user session length has increased after a design change based on a sample of 100 users.

    • A paired t-test is utilized to assess if a new swim cap impacts swimmers' lap times by comparing results from two laps per swimmer using different caps.

    Categories and Distribution

    • A chi-square test of independence evaluates the connection between age demographics and preferred media streaming services from a diverse random sample.

    • A chi-square goodness of fit test analyzes the distribution of continent origins among UN employees compared to researched percentages.

    Generalizing Sleep Patterns and Media Usage

    • A z-test for proportion analyzes whether over 50% of students bring lunch from home, based on observations of 100 students.

    • A paired t-interval estimates the mean score difference of test-takers before and after completing a test prep course from a sample.

    • A t-interval for mean measures the average finishing time of New York City Marathon runners from a selected sample of finishers.

    • A two-sample z-interval compares vegetarian statuses between two different age groups surveyed by Angelica.

    • A goodness of fit test checks for equal proportions of phone colors owned by customers based on a sample of 500 individuals.

    • A t-test for mean assesses if students sleep less than the standard 8 hours based on a random sample of sleep hours.

    • Slope analysis investigates how apartment size affects rental prices by sampling apartments and recording their price and size.

    Analyzing Web Traffic

    • A homogeneity test compares visitor navigation methods to a website before and after changes, based on two separate samples of 500 visits.

    • A z-interval for proportion estimates the likelihood of obtaining a rare item in a video game based on 1,000 encounters.

    • A two-sample t-interval is utilized to determine the average weight difference between jumbo and large eggs, based on respective samples.

    • A slope test examines the relationship between social media usage and sleep duration to estimate trends in both behaviors.

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    Description

    Test your knowledge of various statistical methods including paired t-intervals, chi-square tests, and z-intervals. This quiz covers applications in real-life scenarios like heart rate analysis and customer behavior. Perfect for students and professionals alike seeking to brush up on their statistics skills!

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