The data set pef.dta contains data from a German study published in 2007 in the journal Pneumologie (61: 83-85). The English translation of the title is, “Improvement in Expiratory Peak Flow (PEF) of COPD Patients due to “Lung” Sport for 12 Months.” The data measures expiratory peak flow (PEF) from the lungs before and after 12 months. There were seven patients in the aerobic exercise group (beforeex, afterex) and 10 patients in a control group (beforecon and aftercon).

a. (2) Perform a sign test on the exercise group. The p-value of the two-sided test is: ________________.

b. (2) Perform a sign test on the control group. The p-value of the two-sided test is: ___________.

c. (2) Perform a Wilcoxon signed-rank test on the exercise group. The Z score is ______ and the p-value is ___________________

d. (2) Perform a Wilcoxon signed-rank test on the control group. The Z score is ______ and the p-value is ___________________. The conclusion is:

e. (2) Use the percviner column to test the difference in the % increase between the control group and the exercise group. Perform a Wilcoxon rank sum test for the hypothesis test. The Z score is _____ and the p-value is _______________.

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