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: 104.3 89.6 89.9 95.6 95.2 90.0 98.8 103.7 98.3 106.4 102.0 91.1
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 teta=7.5 had been assumed. How many determinations would then have been appropriate to obtain beta=.10 for the alternative u=95?