Majesty Video Production Inc. wants the mean length of its advertisements to be 32 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 20 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 32.50 seconds? (Round your z-value and final answer to 2 decimal places.) d. What percent of the sample means will be greater than 31.50 seconds? (Round your z-value and final answer to 2 decimal places.) e. What percent of the sample means will be greater than 31.50 but less than 32.50 seconds? (Round your z-value and final answer to 2 decimal places.) f. What is the probability that the sampling error would be less than or more than 1.5seconds? (Round your z- value and final answer to 4 decimal places.)