Exercise 7-39 Powert, produces AA batteries used in remote-controlled toy cars.

Question

Exercise 7-39 Powert, produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 34 hours and a standard deviation of 4.8 hours. As a part of its testing program, Power r tests samples of 36 batteries. Use Appendix B.1 for the z-values. a. What can you say about the shape of the distribution of sample mean? Sample mean nLr O b. What is the standard error of the distribution mean? (Round the final answer to 4 decimal of the sample Sample mean c. proportion of the samples will have a mean useful life of more than 35 hours? (Round the final answer Samples mean d. What proportion of the sample will have a life greater than 33.5 hours? (Round the final answer to 4 decimal places.) mean useful Samples mean e. What proportion of the sample will have a mean useful life between 335 and 35 hours? (Round the final answer to 4 decimal places.) Samples mean eBook & Resources MacBook

Explanation / Answer

a. Sample mean also follows Normal distribution with mean 34 hrs and standard deviation is 0.8

b. 0.1333

c. 89.44% of the batteries have life more than 35hrs

d. 99.99% of the batteries have mean life more than 33.5 hrs

e. 39.43% of the mean battery life lie between 33.5 to 35 hrs.

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