3 Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 37 hours. hours and a standard deviation of 5.8 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries. a. What can you say about the shape of the distribution of the sample mean? 3 points Sample mean . (Click to select) v eBook b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.) Print Standard error References c. What proportion of the samples will have a mean useful life of more than 38 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.) Probability d. What proportion of the sample will have a mean useful life greater than 36.5 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.) Probability e. What proportion of the sample will have a mean useful life between 36.5 and 38 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.)