What is normal when it comes to people's body temperatures? A random sample of 130 human body temperatures provided by Allen Shoemaker in the Journal of Statistical Education had a mean of 36.81 Celsius and a standard deviation of 0.73 .Do the data indicate that the average body temperature for healthy humans is different from 37 , the usual average temperature cited by physicians and others? Test using the following three methods.

(a) [6] Use the critical value approach with = 0.05

(b) [6] Use the p-value approach with = 0.05

(c) [8] Calculate the 95% confidence interval for the population average body temperature and test the hypothesis. Is the decision same as p-value or critical value approach?