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?
The distribution will be ______
b. What is the standard error of the mean time? (Round your answer to 2 decimal places.)
standard error_______
c. What percent of the sample means will be greater than 28.50 seconds? (Round your z values and final answers to 2 decimal places.)
Percent of sample means_______
d. What percent of the sample means will be greater than 26.25 seconds? (Round your z values and final answers to 2 decimal places.)
Percent of sample means________
e. What percent of the sample means will be greater than 26.25 but less than 28.50 seconds? (Round your z values and final answers to 2 decimal places.)
Percent of sample means _________