An endocrinologist is interested in the effects of depression on the thyroid. It is believed that healthy subjects have a mean thyroxin level of 7.0 mcg/100ml and a standard deviation of 1.6mcg/100...

An endocrinologist is interested in the effects of depression on the thyroid. It is believed that healthy subjects
have a mean thyroxin level of 7.0 mcg/100ml and a standard deviation of 1.6mcg/100 ml. The endocrinologist
wants to assess whether the mean thyroxin level is different for those with depression. She samples 35 subjects
with depression and obtains a sample mean of 7.46 mcg/100 ml for thyroxin.

Identify/calculate the mean and standard deviation of the
means of the samples. Draw and Label the distribution

Identify the critical value(s) for this test, label it (them) on the distribution, shade the rejection region(s).
Calculate the test statistic, mark and label it on the comparison distribution.
State the hypothesis-testing conclusion, in words in terms of this test.