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AP Statistics Flashcards: Difference Of Two Means Test

Study Difference Of Two Means Test 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 pooled variance formula in a two-sample t-test?

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ANSWER

sp2=(n1−1)s12+(n2−1)s22n1+n2−2s_p^2 = \frac{(n_1 - 1)s_1^2 + (n_2 - 1)s_2^2}{n_1 + n_2 - 2}. Weighted average of sample variances.

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AP Statistics: Inference for Quantitative Data: Means

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This deck focuses on Difference Of Two Means Test, giving you a quick way to review the definitions, rules, and examples that matter most for AP Statistics.

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1 of 39Practice questions for this set
A school district wants to know whether a new reading program changes mean reading-comprehension scores. A random sample of 40 students used the new program (Group N) and a separate random sample of 38 students used the old program (Group O). A two-sample tt test for μN−μO\mu_N-\mu_O was conducted with hypotheses H0:μN−μO=0H_0: \mu_N-\mu_O=0 and Ha:μN−μO>0H_a: \mu_N-\mu_O>0. The test produced a p-value of 0.018. Using α=0.05\alpha=0.05, what conclusion is appropriate?
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