Question

Suppose the neck size of men is normally distributed, with a mean of 15.5 inches and a standard deviation of 0.5 inch. A shirt manufacturer is going to introduce a new line of shirts. Assume that if your neck size falls between two shirt sizes, you purchase the next larger shirt size. How many of each of the following sizes should be included in a batch of 2,000 shirts? (Assume that if your neck size falls below 14 you will purchase a size 14 shirt. Assume that if your neck size falls above 17 you will not purchase a shirt. Note: The answer blanks may not add up to exactly 2,000 shirts. Round your answers to the nearest whole number.)