Question

A paired difference experiment yielded the results shown below nd 45 a. Test Ho: μ,-11 against Ha: μd # 11 where μ,-(μι-Hz). Use α:0.01 b. Report the p-value for the test you conducted in part a. Interpret the p-value a. Determine the test statistic The test statistic is (Round to two decimal places as needed.) Identify the rejection region. Select the correct choice below and fill in the answer box to complete your choice (Round to three decimal places as needed.) d12.2 oc. 리> What is the appropriate conclusion of the hypothesis test at α 001? H. There is evidence to indicate that H is b. The p-value for the test conducted in part a is (Round to four decimal places as needed.) Interpret the p-value Since the p-value is Ho. There is Vevidence to indicate that u is

Answer 1

From the data, Mean of the differences($\bar{x}_d$) = 12.2 and Std Deviation of differences (sd) = 7

nd = 45

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(a) The Test Statistic:

Td 12.2 Sg 11.69

Since this is a 2 tailed test at $\alpha$ = 0.01, the critical value is Option C : $\left | z |$ > 2.576.

Reject H0. There is sufficient evidence to indicate that $\mu_d$ is not equal to/different from 11.

(b) The p value (2 tailed) for z = 11.69 is = 0.0000

Since the p value is less than $\alpha$, Reject H0. There is sufficient evidence to indicate that $\mu_d$ is not equal to/different from 11.