The average body temperature is 98.6 degrees. Suppose I take a
sample of 106 people and find that their average body temperature
is 98.2 degrees. We know that the population standard deviation is
0.62. We are interested in seeing if the actual average body
temperature is less than 98.6 degrees. (a) What is the standard
error? (b) What is the margin of error at 90% confidence? (c) Using
my sample of 106, what would be the 90% confidence interval for the
population mean? (d) If I wanted to control my margin of error and
set it to 0.25 at 95% confidence, what sample size would I need to
take instead of the 50? (e) What are the null and alternative
hypotheses? (f) What is the critical value at 90% confidence? (g)
Calculate the test statistic. (h) Find the p-value. (i) What
conclusion would be made here at the 90% confidence level?