AP Statistics Flashcards: Sampling For Differences In Sample Means

Study Sampling For Differences In Sample Means in AP Statistics with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the formula for calculating the confidence interval for the difference in means?

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ANSWER

CI=(xˉ1xˉ2)±t×SECI = (\bar{x}_1 - \bar{x}_2) \pm t^* \times \text{SE}. Margin of error added and subtracted from difference.

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AP Statistics: Sampling Distributions

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This deck focuses on Sampling For Differences In Sample Means, giving you a quick way to review the definitions, rules, and examples that matter most for AP Statistics.

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Practice questions

1 of 50Practice questions for this set
A manufacturer compares the mean lifetime of batteries from two production lines. In repeated sampling, an independent random sample of n1=16n_1=16 batteries from Line 1 and n2=16n_2=16 batteries from Line 2 is tested, and xˉ1xˉ2\bar{x}_1-\bar{x}_2 is recorded. Which statement is correct about how the standard deviation of the sampling distribution changes if both sample sizes are quadrupled (to n1=n2=64n_1=n_2=64)?​
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