to questic 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 35 hours and a standard deviation of 5.2 hours. As a part of its quality assurance program, Power +, Inc tests samples of 25 batteries Required: a. What can you say about the shape of the distribution of the sample mean? Answer is complete and correct. The distribution will be normal b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.) 3 Answer is complete but not entirely correct. Standard error 0.0869 c. What proportion of the samples will have a mean useful life of more than 36 hours? (Round your z-value to 2 decimal places and final answer to 4 decimal places.) Answer is complete but not entirely correct. 1.7333 Probability d. What proportion of the samples will have a mean useful life greater than 34 5 hours? (Round your value to 2 decimal places and final answer to 4 decimal places.) Answer is complete but not entirely correct. Probability 0 2810 e. What proportion of the samples will have a mean useful life between 34.5 and 36 hours? (Round your z-value to 2 decimal places and final answer to 4 decimal places.) Answer is complete but not entirely correct. Probability 0.7190 f. What is the probability that the sampling error would be less than or more than 1 hour? (Round your z-value to 2 decimal places and final answer to 4 decimal places.) Answer is complete but not entirely correct. Probability 0.4380