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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Flashcards

Chi-square test for goodness of fit

A statistical test used to determine if observed sample data matches an expected distribution. In this case, whether the number of emails received follows a uniform distribution.

Expected number of emails

The average number of emails expected daily, assuming each day has an equal chance of an email being received.

Chi-squared test statistic formula

A measure of the difference between observed (O) and expected (E) values. It is calculated as the sum of the squared difference between the observed and expected values, divided by the expected values.

Chi-squared test statistic

A numerical value resulting from the chi-squared test, representing the magnitude of the difference between the observed and expected email counts.

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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.