In: Statistics and Probability
Majesty Video Production Inc. wants the mean length of its advertisements to be 25 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? (Round your answer to 2 decimal places.)
C.What percent of the sample means will be greater than 26.25 seconds? (Round your z values and final answers to 2 decimal places.) What percent of the sample means will be greater than 23.75 seconds? (Round your z values and final answers to 2 decimal places.)
D. What percent of the sample means will be greater than 23.75 but less than 26.25 seconds? (Round your z values and final answers to 2 decimal places.)