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According to ESPN, the average weight of a National Football League player in 2009 is 252.8 pounds. Assume the population standard deviation is 25 pounds.

According to ESPN, the average weight of a National Football League player in 2009 is 252.8 pounds. Assume the population standard deviation is 25 pounds. A random sample of 38 NFL players was selected.

a) calculate the standard error of mean

b) What is the probability that the sample mean will be less than 246 pounds?

c)What is the probability that the sample mean will be more than 249 pounds?

d) What is the probability that the sample mean will between 254 and 258 pounds?

e) Identify the symmetrical interval that includes 95% of the sample means if the true population mean is 252.8 pounds

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