Answer each question to the best of your ability. Show your calculations (they can be verified on a calculator). Your final answer should be in the form of a complete sentence.

1. In a study by researchers at the University of Maryland, the body temperatures of 106 individuals were measured; the mean for the sample was 98.20F. It is commonly believed that the mean body temperature is 98.60F. The difference between the sample mean and the accepted value is significant at the 0.05 level.

a. Discuss the meaning of the significance level in this case. (3 points)

b. If we assume that the mean body temperature is actually 98.60F, the probability of getting a

sample with a mean of 98.20F or less is 0.000000001. Interpret this probability value.

(3 points)

2. A study was conducted to test the hypothesis that people can temporarily postpone death to survive a major holiday or important event such as a birthday. It was found that there were 6062 deaths in the week before Thanksgiving and 5938 in the week after Thanksgiving. The probability of getting such extreme results is 0.87. Interpret this probability. (4 points)