The average weight of a professional football player in 2009 was 247.2 pounds. Assume the population standard deviation is 35 pounds. A random sample of 34 professional football players was selected. Complete parts a through e. a. Calculate the standard error of the mean. = ox (Round to two decimal places as needed.) b. What is the probability that the sample mean will be less than 237 pounds? P(X<237) = (Round to four decimal places as needed.) c. What is the probability that the sample mean will be more than 244 pounds? P(x>244) = (Round to four decimal places as needed.) d. What is the probability that the sample mean will be between 250 pounds and 257 pounds? P (250 ≤x≤257) = (Round to four decimal places as needed.) e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is 247.2 pounds. 161"

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