AP Statistics : Measures of Distributions

Study concepts, example questions & explanations for AP Statistics

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Example Questions

Example Question #1 : T Distribution

The purpose of the t test is to do which of the following?

Possible Answers:

Compare the significance of multiple variables.

Describe the variance within a population.

Determine the ability of one variable to predict another.

Compare the means of separate populations.

Test the relationship between five or more variables.

Correct answer:

Compare the means of separate populations.

Explanation:

A t test is used to compare the means of different groups.  A t test score describes the likelihood that the difference in means between two groups is due to chance. The null hypothesis assumes the two sets are equal however, one can reject the null hypothesis with a p value within a particular confidence level.

Example Question #1 : Chi Squared Distribution

follows a chi-squared distribution with degrees of freedom and through are independent standard normal variables.

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Use the fact that the sum of  squared standard and independent normal variables follows a chi-squared distribution with degrees of freedom.

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