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 1,000 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 1,000 shirts. Round your answers to the nearest whole number.) (a) 14 x shirt(s) (b) 14.5 x shirt(s) (c) 15 x shirt(s) (d) 15.5 x shirt(s) (e) 16 x shirt(s) (f) 16.5 x shirt(s) (9) 17 x shirt(s)

A student scores 74 on a geography test and 264 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 5. The mathematics test has a mean of 300 and a standard deviation of 24. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? OA. The student scored better on the mathematics test. OB. The student scored better on the geography test. OC. The student scored the same on both tests.

A particular fruit's weights are normally distributed, with a mean of 442 grams and a standard deviation of 35 grams. If you pick 9 fruits at random, then 10% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.

Suppose that Jett achieves a score of 1250 on the SAT, and his sister Kate scores 29 on the ACT. The SAT scores are normally distributed with a mean of 1100 and standard deviation of 250. The ACT scores are normally distributed with a mean of about 20 and standard deviation of 5. Who did better, relative to their peers?