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AP Statistics/Unit 5: Sampling Distributions
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Conditions For Pooled Two-Sample T-Test
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To study the effect of a new diet on blood pressure, a researcher compared a treatment group (n = 25) with a control group (n = 30). In analyzing the difference between the two independent sample means, the researcher used a pooled standard deviation. This approach requires the assumption that the population variances are equal, an assumption the researcher did not check. What statistical error was committed?

A

They inappropriately assumed equal variances for the two populations and used a pooled standard deviation without testing this assumption.

B

They mistakenly swapped the sample sizes when calculating the standard error.

C

They miscalculated the degrees of freedom by using an incorrect formula.

D

They incorrectly applied a one-sample t-test instead of a two-sample test.

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