# Question: The weight of NFL players has increased steadily gaining up

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.

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.

**View Solution:**## Answer to relevant Questions

Jeff Bollinger of Prudential Realtors has 20 residential listings under contract. The following table shows the number of days each of these 20 houses has been on the market as of today. a. Calculate the mean for this ...The Excel file titled NBA. xlsx contains frequency distribution of the heights of the players in the National Basketball Association during a recent season. a. Calculate the mean and standard deviation of this population. ...First time buyers are very important to the housing market because these buyers allow existing homeowners to “move up” into their next home. According to the National Association of Realtors, 31% of U. S. homes sold in ...According to FedSmith. com, the average salary for a federal employee in 2012 was $ 74,804. Assume the population standard deviation is $ 15,300. A random sample of 34 federal employees is selected. a. What is the ...A certain unnamed statistics teacher needs to grade 90 exams. The teacher claims that exams require an average of 12 minutes to grade with a standard deviation of 3 minutes. A random sample of 15 exams is selected. a. What ...Post your question