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 5.3 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries. Required: a. What can you say about the shape of the distribution of the sample mean? b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.) c. What proportion of the samples will have a mean useful life of more than 37 hours? (Round your z-value to 2 decimal places and final answer to 4 decimal places.)
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the
Required:
a. What can you say about the shape of the distribution of the sample mean?
b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)
c. What proportion of the samples will have a mean useful life of more than 37 hours? (Round your z-value to 2 decimal places and final answer to 4 decimal places.)
d. What proportion of the samples will have a mean useful life greater than 34 hours? (Round your z-value 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 and 37 hours? (Round your z-value to 2 decimal places and final 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 z-value to 2 decimal places and final answer to 4 decimal places.)
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