Carl Wunderlich reported that the mean temperature of humans is 98.6F. TO test this long-held belief, medical researchers measured the temperature of 36 randomly selected healthy adults. The sample...

Carl Wunderlich reported that the mean temperature of humans is 98.6F. TO test this long-held belief, medical researchers measured the temperature of 36 randomly selected healthy adults. The sample data resulted in a sample mean of 98.2F and a population standard deviation of 0.6F. Assuming that the population is normal, test whether the mean temperature of humans is different from 98.6F at the 5% significance level.

a) Find the p-value.

b) State the decision and the conclusion in the context of the problem

c) Calculate a 95% confidence interval for the population mean and interpret your interval in the context of this problem