Question

13 IULIS ble Question Help = 87 and 27. A simple random sample of size ne 81 is obtained from a population with (a) Describe the sampling distribution of x. (b) What is P (x > 92.85) ? (c) What is P (XS 80.1)? (d) What is P (82.95<x< 93.15) ? (a) Choose the correct description of the shape of the sampling distribution of x. O A. The distribution is approximately normal. OB. The distribution is skewed right OC. The distribution is skewed left. O D. The distribution is uniform O E. The shape of the distribution is unknown. Find the mean and standard deviation of the sampling distribution of = (b) P (x> 92.85) - (Round to four decimal places as needed) (e) P (580.1) - (Round to four decimal places as needed.) (d) P (82.95<< < 93.15) - (Round to four decimal places as needed) Click to select your answer(s). 1 - 109 of 109

Answer 1

An- n=81, 4= 87.3829 (a) A. the distributim is approximally normal Mg = 4 = 871 Oy - 3 (b) PCE 92:85) = P( Falls 92.85-82 ) = = P(Z > 1.95 1- Plzs 1.95) - 0.9744. 0.0256 P s 80.1) PCXel z 80.1-87 na Bun E P(z 5-23) = 0.0107 P (82.95 <7 <93.15) = P ( 82-95-87 93.15-87) = 5 = = P(-1.35) 2 PLZ 22.05) - 0.9798 - 0.8913 2 .05) P(ZS-5.35 0.0885