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

Power+, produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 32 hours and a standard deviation of 5.2 hours. As a part of its testing program, Power+ 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?

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

c. What proportion of the samples will have a mean useful life of more than 33 hours? (Round the final answer to 4 decimal places.)

d. What proportion of the sample will have a mean useful life greater than 31.5 hours? (Round the final answer to 4 decimal places.)

e. What proportion of the sample will have a mean useful life between 31.5 and 33 hours? (Round the final answer to 4 decimal places.)

math   Statistics-And-Probability   
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Answer #1

fello to Noswa aisteib sausplo size is large It is bell shaped .3667 lloto Nopma u 0、8667,thm20-332 ~n(e) aud standard ernors ニ 0 8661 0 8667 0-3749 o% using z table PX35 31 S-32 0-866て 0 7I90 = 0.2190ャ0.374 9 =)0.5939 0 -558 TIS 。

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