Reconsider the situation described in Exercise 32 of Section 9.2, and use the Wilcoxon test with  = .05 to test the relevant hypotheses. A sample of 12 radon detectors of a certain type was selected,...

Reconsider the situation described in Exercise 32 of Section 9.2, and use the Wilcoxon test with
 = .05 to test the relevant hypotheses.

A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows:

a. Does this data suggest that the population mean reading under these conditions differs from 100? State and test the appropriate hypotheses using
 = .05.

b. Suppose that prior to the experiment, a value of
 = 7.5 had been assumed. How many determinations would then have been appropriate to obtain
 = .10 for the alternative
 = 95?