Power+, produces AA batteries used in remote-controlled toycars. The mean life of these batteries follows the normalprobability distribution with a mean of 27 hours and a standarddeviation of 4.1 hours. As a part of its testing program, Power+tests samples of 25 batteries. Use Appendix B.1 for the z-values.a. What can you say about the shape of the distribution of samplemean? Shape of the distribution is b. What is the standard error ofthe distribution of the sample mean? (Round the final answer to 4decimal places.) Standard error c. What proportion of the sampleswill have a mean useful life of more than 28 hours? (Round thefinal answer to 4 decimal places.) Probability d. What proportionof the sample will have a mean useful life greater than 26.5 hours?(Round the final answer to 4 decimal places.) Probability e. Whatproportion of the sample will have a mean useful life between 26.5and 28 hours? (Round the final answer to 4 decimal places.)Probability
