For each of the problems unless stated otherwise. First state what is given in the problem and the formula needed to calculate the problem. Then calculate the problem both by hand and in excel. Copy and past the formula used in excel. Make sure the answers are easy to identify in both sections. By completing the questions by hand and in excel it provides a double check on your work.

The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The probability that the mean of the sample is between 35.95 and 35.98 oz. is __________. (4 pts)

Given

Formula to solve problem

Excel

Hand calculation