Q1) Recent article in Vitality magazine reported that mean amount of leisure time week for American men is 40.0 hours. You think this figure is too large and decision to carry out your own test. In random sample of 60 men, you determine that mean is 37.8 hours of leisure per week and that standard deviation of sample is 12.2 hours. Can you conclude that information in article is untrue? Use 0.05 significance level. Find out p-value and explain its meaning.
Q2) Dole Pineapple, Inc., is concerned that 16-ounce can of sliced pineapple is being overfilled. Suppose the standard deviation of process is 0.03 ounces. Quality-control department took random sample of 50 cans and found that arithmetic mean weight was 16.05 ounces. At 5% level of significance, can we conclude that mean weight is greater than 16 ounces? Find out the p-value.