Power +, Incorporated produces AA batteries used in remote-controlled tog.r cars. The mean life of these batteries follows the normal probability distribution with a mean of 35.0 hours and a standard deviation of 5.5 hours. As a part of its quality assurance program, Power +, Incorporated tests samples of 25 batteries. :3. What can you say about the shape ofthe distribution of the sample mean? 0 Answer is complete and correct. normal. b. What is the standard error of the distribution of the sample mean? (Round your answer to 1 decimal places} : c. What proportion of the samples will have a mean useful life of more than 36 hours? {Round your z-valueto 2decima| places and nal answer to 4 decimal places.) 0 Answer is complete but not entirer correct. 0.0869 9 d. What proportion of the samples will have a mean useful life greater than 34.5 hours? [Round your zvalue to 2 decimal places and final answer to 4 decimal places} : e. What proportion of the samples will have a mean useful life between 34.5 and 36.0 hours? (Round your zvalue to 2 decimal places and nal answer to 4 decimal places.) : f. What is the probability that the sampling error would be less than or more than '1 hour? {Round your zualue to 2 decimal places and final answer to 4 decimal places}