The manufacturer of cans of salmon, that are supposed to have a net weight of 6 ounces, tells you that the net weight is actually a normal random variable with a mean of 6.05 ounces and a standard...

The manufacturer of cans of salmon, that are supposed to have a net weight of 6 ounces, tells you that the net weight is actually a normal random variable with a mean of 6.05 ounces and a standard deviation of .18 ounce. Suppose you draw a random sample of 36 cans.

Find the probability that the mean weight of the sample is less than 5.97 ounces.

Suppose your random sample of 36 cans of salmon produced a mean weight of less than 5.97 ounces. Comment on the statement made by the manufacturer.