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 34.0 hours and a standard deviation of 7.2 hours. As a part of its testing program, Power+ tests samples of 30 batteries. (Round to four decimals) a. What is the standard error of the distribution of the sample mean? b. What proportion of the samples will have a mean useful life of more than 35 hours? c. What proportion of the sample will have a mean useful life greater than 32.5 hours? d. What proportion of the sample will have a mean useful lie between 34.5 and 37 hours?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.