Question: A sample of n=9 scores is obtained from a normal distribution with σ= 12. The sample mean is M=60.

a. With a two tailed test and α=.05, use the sample data to test the hypothesis that the population mean is µ=65.

b. With a two tailed test and α=.05, use the sample data to test the hypothesis that the population mean is µ=55.

c. In parts (a) and (b) of this problem, you should find that µ=65 and µ=55 are both acceptable hypotheses. Explain how two different values can both be acceptable.