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 36 hours and a standard deviation of...

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 36 hours and a standard deviation of 5.3 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries.



Required:


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

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

c. What proportion of the samples will have a mean useful life of more than 37 hours?(Round yourz-value to 2 decimal places and final answer to 4 decimal places.)

d. What proportion of the samples will have a mean useful life greater than 34 hours?(Round yourz-value to 2 decimal places and final answer to 4 decimal places.)

e. What proportion of the samples will have a mean useful life between 34 and 37 hours?(Round yourz

-
value to 2 decimal places and final answer to 4 decimal places.)

f.What is the probability that the sampling error would be less than or more than 1 hour?(Round yourz

-
value to 2 decimal places and final answer to 4 decimal places.)