For each of the following samples that were given an experimental treatment, test whether the samples represent populations that are different from the general population:
(a) A sample of 10 with a mean of 44.
(b) A sample of 1 with a mean of 48. The general population of individuals has a mean of 40, a standard deviation of 6, and follows a normal curve. For each sample, carry out a Z test using the five steps of hypothesis testing with a two-tailed test at the .05 significance level, and make a drawing of the distributions involved.
(c) Figure the 95% confidence interval for parts (a) and (b).