The average amount of time spent per week in meetings by top executives of large corporations is 15 hours with a standard deviation of 2 hours. At random, 36 executives are selected and asked various questions, one of which is the amount of time per week spent in meetings. The mean for the 36 executives questioned was 14.8 hours with a standard deviation of 1.5 hours.

Are 14.8 and 1.5 hours the mean and the standard deviation of the sampling distribution of samples of 36 executives selected from the population of top executives? Explain carefully.

Describe the sampling distribution of the mean time spent per week in meetings for samples of 36 executives selected from the population of top executives. Calculate the mean and the standard deviation of the sampling distribution.

What is the probability that the mean of a random sample of 36 executives selected from the population exceed 14.8 hours? Show work.

Sixty five percent of the sample means are below what number of hours? Show work.

(all one question working off the first part's information)