. The mean life of t Show more Mattel Corporation produces a remote controlled car that requires AA batteries. The mean life of these batteries in this product is 35 hours. The distribution of the battery lives closely follows the normal probability distribution with a standard deviation of 5.5 hours. As a part of its testing program Sony tests sample of 25 batteries. a. Compute the expected value and standard deviation of the sample mean. b. What is the probability that the average life of these batteries will be less than 30 hours? c. What is the probability that the average life of these batteries will be more than 38 hours? d. What is the probability that the average life of these batteries will be between 29 and 34 hours? e. There is a 73 percent chance that the sample mean/average life of these batteries will be below how many hours? f. At least 46 percent of the sample mean life of these batteries will be have ____________ hours? g. The probability that 82 percent of sample mean/average life of these batteries will be symmetrically distributed between what two values around the population mean? h. What assumption must you make in order to solve b. through g? Show less