Provide an appropriate response.
-Describe the process for testing hypothesis about two means when the samples are dependent. Compare this process to the methods of hypothesis testing for one mean in Chapter 7.

Question

Quizplus · Accepted Answer

The Answer is When the samples are dependent, the differences are computed for each pair of values. Then the mean
and standard deviation are computed. The process proceeds exactly like the process in Chapter 7 for testing hypothesis about one mean with the t-distribution. The test statistic is

t = \frac { \overline { \mathrm { d } } - \mu _ { \mathrm { d } } } { \frac { \mathrm { s } _ { \mathrm { d } } } { \sqrt { \mathrm { n } } } }

. The hypotheses
are

\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 0 . \mathrm { H } _ { 1 } : \mu _ { \mathrm { d } } eq 0

. The process includes drawing the distribution, shading the reject region(s), finding the critical values, computing the test statistic, rejecting or failing to reject the null hypothesis, and writing the conclusion.

Provide an Appropriate Response