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...

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.



Required:


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 yourz-value and final answer to 2 decimal places.)

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

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