The Sony Corporation produces a Walkman that requires two AA batteries. The meanlife of these batteries in this product is 35.0 hours. The distribution of the battery lives closely follows the normal probabilitydistribution with a standard deviationof 5.5 hours. As a part of their testing program Sony tests samples of 25 batteries.
b. What is the standard errorof the distribution of the sample mean? Use formula & show work.
c. What proportion of the samples will have a mean useful life of more than 36 hours? Use formula and show work.
d. What proportion of the sample will have a mean useful life greater than 34.5 hours? Use formula and show work.
See attached file.
The proportion of the samples that will …
The solution provides step by step method for the calculation of standard error, test statistic, and proportion. Formula for the calculation and interpretations of the results are also included.