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Chi-Square Goodness of Fit Quiz
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Chi-Square Goodness of Fit Quiz

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Questions and Answers

Which statistical test should be performed to determine if the number of emails follows a uniform distribution?

  • T-test
  • ANOVA
  • Chi-square test for goodness of fit (correct)
  • Chi-square test for independence
  • What is the expected number of emails David was expecting to receive each day?

  • 30 (correct)
  • 35
  • 26
  • 29
  • What is the formula for calculating the chi-squared test statistic?

  • $\chi^2 = \sum \frac{(E - O)^2}{E}$
  • $\chi^2 = \sum \frac{(E - O)^2}{O}$
  • $\chi^2 = \sum \frac{(O - E)^2}{E}$ (correct)
  • $\chi^2 = \sum \frac{(O - E)^2}{O}$
  • What is the chi-squared test statistic for the given data?

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    Study Notes

    Determining Distribution of Emails

    • To determine if the number of emails follows a uniform distribution, a chi-squared goodness of fit test should be performed.

    Expected Emails per Day

    • David was expecting to receive an equal number of emails each day, implying a uniform distribution.

    Chi-Squared Test Statistic Formula

    • The formula for calculating the chi-squared test statistic is: χ² = Σ [(Oi - Ei)² / Ei], where Oi is the observed frequency and Ei is the expected frequency.

    Chi-Squared Test Statistic for the Given Data

    • The chi-squared test statistic for the given data needs to be calculated using the formula and the provided data.

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    Description

    Test your knowledge on chi-square tests for goodness of fit with this quiz! Explore the scenario of David recording his daily emails and determine if the number of emails follows a uniform distribution. Challenge yourself with calculating chi-squared values and interpreting the results.

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