The manufacturer of cans of salmon expects that, when equipment is working properly, the net weight of the cans of salmon will have a mean of 6.0 ounces and a standard deviation of 0.18 ounces. To check to see that the equipment is working properly, a random sample of 36 cans is taken. (answer using excel please)

a. If the equipment is working properly, determine the probability that the mean weight of the sample is 5.97 ounces or less.

b. Based on your answer in part a, explain whether or not the manufacturer should be concerned if the sample mean is found to be 5.97 ounces.

c. Determine the range symmetric about the mean in which 95% of all sample means should be expected to be?

from: ounces to: ounces

d. Based on your answer in part c, explain whether or not the manufacturer should be concerned that the equipment is not functioning properly if a sample mean of 5.96 ounces is found.

e. Based on your answer in part c, explain whether or not the manufacturer should be concerned that the equipment is not functioning properly if a sample mean of 6.06 ounces is found.