In a study by researchers at the University of Maryland, the body temperatures of 106 individuals were measured; the mean for the sample was 98.20°F. It is commonly believed that the mean body temperature is 98.60°F. 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.
b. If we assume that the mean body temperature is actually 98.6°F, the probability of getting a sample with a mean of 98.20°F or less is 0.000000001. Interpret this probability value.