Majesty Video Production Incorporated wants the mean length of its advertisements to be 33 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 12 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 34.50 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 34.50 seconds? (Round your z-value and final answer to 2 decimal places.) f. What is the probability that the sampling error would be more than 1.5 hours? ( Round your z-value and final answer to 4 decimal places.)