In Example 11.6 (p. 415), we found that a 99% confidence interval for the mean number of hours Penn State students watch television in a day is 1.76 to 2.42 hours. Explain whether each of the following statements is a correct interpretation of this result.

a. We can be fairly confident that 99% of all Penn State students watch between 1.76 hours and 2.42 hours of television a day.

b. We can be fairly confident that the mean number of hours of television Penn State students watch per day is under 3 hours.

c. The probability is .99 that the mean number of hours of TV Penn State students watch per day is between 1.76 hours and 2.42 hours.