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Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these...

Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this product is 36 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 samples of 9 batteries. (a) What can you say about the shape of the distribution of the sample mean? Sample mean (b) What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.) Standard error (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 34.5 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 34.5 and 38 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.) Probability

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