Suppose that a sample of 15 randomly chosen people were put on a special weight loss diet. The amount of weight lost, in pounds, follows an unknown distribution with mean equal to 12 pounds and standard deviation equal to 3 pounds. Assume that the distribution for the weight loss is normal.
To find the probability that the mean amount of weight lost by 15 people is no more than 14 pounds, the random variable should be:
A. The number of people who lost weight on the special weight loss diet
B. The number of people who were on the diet
C. The mean amount of weight lost by 15 people on the special weight loss diet
D. The total amount of weight lost by 15 people on the special weight loss diet