Assume that the mean weight of all NFL players is 245.7 pounds, with a standard deviation of 34.5 pounds. A random sample of 32 NFL players is selected for study.
A) What is the Shape, mean (expected value) and standard deviation of the sampling distribution of the sample mean for this study?
B) For a sample of 32 players, what is the probability that the sample mean weight is greater than 250 pounds?
C) What is the probability that an individual player from the NFL weighs more than 250 pounds?
D) For a sample of 32, what is the probability that the sample mean weight is between 248 and 254 pounds?