3. For each of the following samples that were given an experimental treatment, test whether they are different from the general population. The general population of individuals has a mean of 40, a...

3. For each of the following samples that were given an experimental treatment, test whether they are different from the general population. 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.



a) a sample of 10 with a mean of 44.



b) a sample of 1 with a mean of 48.



4. For each of the following studies, the samples were given an experimental treatment, and the researchers compared their results to the general population. For each, carry out a Z test using the five steps of hypothesis testing for a two-tailed test at the .01 level, and make a drawing of the distributions involved.



a) Population mean=10; Population SD=2; Sample size=50; Sample Mean=12

b) Population mean=10; Population SD=2; Sample size=100; Sample Mean=12