Majesty Video Production Inc. wants the mean length of its advertisements to be 30 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 16 ads produced by Majesty.

a. What can we say about the shape of the distribution of the sample mean time?

b. What is the standard error of the mean time?

c. What percent of the sample means will be greater than 31.25 seconds?

d. What percent of the sample means will be greater than 28.25 seconds?

e. What percent of the sample means will be greater than 28.25 but less than 31.25 seconds?

f. What is the probability that the sampling error would be less than or more than 1.5 seconds?