Question
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
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.
| (a) | What can you say about the shape of the distribution of the sample mean? | |||
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| (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 37 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 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 and 37 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.) |
| Probability |
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Algebra 1
Authors: Mary P. Dolciani, Richard A. Swanson
(McDougal Littell High School Math)
9780395535899, 0395535891
