Question
Homowork 2 Probability Homework 3 One Sample Inference tsPODStat3 8.E.016 e library on a university campus, there is a sign in the elevator that indicates a limit of 16 ermore, there is a weight limit of 2500 lb. Assume that the average weight of students, f on campus is 156 lb, that the standard deviation is 27 lb, and that the distribution of wei duals on campus is approximately normal. If a random sample of 16 persons from the c ken: (a) What is the expected value of the sample mean of their weights? lb (b) What is the standard deviation of the sampling distribution of the sample mean (Round your answer to two decimal places.) lb (c) What average weights for a sample of 16 people will result in the total weight e weight limit of 2500 lb? (Round your answer to two decimal places.) lb (d) What is the chance that a random sample of 16 persons on the elevator will ex weight limit? (Round your answer to four decimal places.) need to use the appropriate table in Appendix A to answer this question. Read It Help?
Explanation / Answer
solution=
a. E(Xbar) = 156lbs
b. SD(Xbar) = 27/Sqrt16 = 6.75lbs
c Surely the answer to this is just 2500/16=156.25
d. P(x-bar> 156.25) = P(Z > (156.25-156)/6.75)
p(Z > 0.03704) = 1- 0.514773 = 0.4852
