Suppose you have a sample of body weights from a population of males above 20 years of age. Your sample size is 121 men. Body weights are approximately normally distributed. Your sample mean is 190 pounds, and your estimated population standard deviation is 44 pounds.
a. What is the estimated standard deviation of the sample mean?
b. Construct a 95% confidence interval for the population mean.
c. Develop a hypothesis test that can be used to determine whether the population’s mean body weight is different than 180 pounds. Use a significance level of 5 percent. (i) Construct a test statistic for this your test (ii) Indicate whether you reject the null hypothesis or do not reject, and why.