Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these...

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 36 hours and a standard deviation of 5.5 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries.

What can you say about the shape of the distribution of the sample mean?

What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)

What proportion of the samples will have a mean useful life of more than 38 hours? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

What proportion of the sample will have a mean useful life greater than 34.5 hours? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

What proportion of the sample will have a mean useful life between 34.5 and 38 hours? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

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Thank you.

orchestra answered 1 year ago

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