10. Hypothesis Testing for Two Samples

Which of the following situations is a matched pairs $t$ test not an appropriate way to analyze?

When testing the difference of means for paired data, which of the following is the correct null hypothesis?

Which of the following is an example of a dependent sample suitable for analysis with the $t$-test?

Which of the following scenarios is most likely to involve dependent samples ($\mathrm{matched} \mathrm{pairs}$)?

Construct a 95% confidence interval for the mean difference of the population given the following information. Would you reject or fail to reject the claim that there is no difference in the mean?

$\bar{d}=-0.728$

$s_d=1.34$

$n=10$

Two samples are $————————————$ if the sample values are paired.

A personal trainer is studying whether a new stretching routine improves flexibility. She records the forward reach (in cm) of 6 clients before and after a 4-week program. Calculate the difference (after - before) for each client, the mean difference, and standard deviation.