A study by the television industry has determined that the average sports fan watches 10 hours per week watching sports on TV with a standard deviation of 3.3 hours. Vancouver TV is considering establishing a specialty sports channel and takes a random sample of 36 sports fans.
(a) Describe the shape of the sample mean distribution. Circle the correct one:
Normally distributed because sample size bigger than 30
B. Cannot be determined because sample size is bigger than 30
C. Cannot be determined because the population distribution is unknown
D. Normally distributed because the population distribution is unknown
(b) What is the mean and standard deviation of the sample means?
Mean:[2] __________________
Standard Deviation:[3] _________________
(c) What is the probability that the sample of 36 will have a mean between 10 and 11 hours?