Suppose we assume that the temperatures of healthy humans is approximately normal with a mean of 98.6 degrees and a standard deviation of 0.8 degrees.
a. If a healthy man/woman are selected at random, what is the probability that his/her temperature is 98.25 degrees or lower?
b. If 35 healthy people are selected at random, what is the probability that the average temperature for these people is 98.25 degrees or lower?
c. If 35 healthy people are selected at random, construct a 99% confidence interval for the average temperature for these people.
d. Would you consider an average temperature of 98.25 degrees to be an unlikely occurrence, given that the true average temperature of healthy people is 98.6 degrees? Explain.