" "The weight of NFL players has increased steadily, gaining up to 1.5 lbs per year since 1942. According to ESPN, the average weight of a National Football League (NFL) player is now 252.8 lbs. Assume the population standard deviation is 25 lbs. A random sample of 38 NFL players was selected. a. Calculate the standard error of the mean .b. What is the probability that the sample mean will be less than 246 lbs? c. What is the probability that the sample mean will be more than 249 lbs? d. What is the probability that the sample mean will be between 254 and 258 lbs? e. identify the symmetrical interval that includes 95% of the sample means if the true population mean is 252.8 lbs"