Question 2

The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb.

(a) State the null and alternative hypotheses for the test.

(b) Calculate the value of the test statistic for this test.

(c) Calculate the p-value for this test.

(d) State the conclusion of this test. Give a reason for your answer.