Majesty Video Production Inc. wants the mean length of its advertisements to be 27 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 15 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?(Round your answer to 2 decimal places.)

c.What percent of the sample means will be greater than 28.50 seconds?(Round yourzvalue and final answer to 2 decimal places.)

d.What percent of the sample means will be greater than 26.25 seconds?(Round yourzvalue and final answer to 2 decimal places.)

e.What percent of the sample means will be greater than 26.25 but less than 28.50 seconds?(Round yourzvalue and final answer to 2 decimal places.)

f.What is the probability that the sampling error would be less than -1.5 or more than 1.5?(Round yourzvalue and final answer to 4 decimal places.)