In a variation of the "How old is my professor question?" a test was done where simply a picture was shown of a person and you were asked to guess the age of the person. The person's actual age was 32 so you would expect the average guess to be 32. In a sample of 88 people who guessed the age the average was 33 with a standard deviation of 10.

a) At the .01 level did the people guess the age differently than expected? (p = .30)

b) The 99% confidence interval for was (30.47,35.53). Interpret this in context of the question

c) Answer part a) with a yes or no response based on your answer for a)?

d) How do you explain the 1 point difference between the expected mean and our sample mean of 33?