PLEASE PAY SPECIAL ATTENTION TO THE AMOUNT OF DECIMAL PLACES ANSWERS NEED TO BE ROUNDED TO.

Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 37 hours. hours and a standard deviation of 5.1 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries.

a. What can you say about the shape of the distribution of the sample mean?

Sample mean (Click to select)NormalUniformBinomial
b.
What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)

Standard error
c.
What proportion of the samples will have a mean useful life of more than 38 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.)

Probability
d.
What proportion of the sample will have a mean useful life greater than 35.5 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.)

Probability
e.
What proportion of the sample will have a mean useful life between 35.5 and 38 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.)

Probability