Calculate the mean and (unbiased) SD for the following sample: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95. Assume that the SD of the population from which these data were sampled is the same as the SD that you just calculated for the sample.

(a) Are these data consistent with the hypothesis that the mean of the population is 60? Explain.

(b) Repeat part (a) for a hypothesized population mean of 36.