Do rk M Mitchell Jackson 11615 845 P 42 Score 0 of 1 pt Hw

Do rk - M Mitchell Jackson 11/6/15 8:45 P 4.2 Score: 0 of 1 pt Hw Score: 73.33%, 3.67 of 5 pts 5.4.31 Help The mean height of women in a country (ages 20-29) is 64.4 inches. A random sample of 75 women in this age group is selectod. What is the probability that the mean hight for the sample is geater than 65 inches? Assume ·292. The probablity that the mean height for the sample is greater than 65 inches is Round to four decimal places as needed.)

Solution

Given mean = 64.4; sample size - n =75

standard deviation-SD = 2.92 ; SE = SD/Sqrt(75)=0.337173

Probability mean height greater than 65 inches = P(X>65) = 1- P(X<=65) = 1- P(Z<=(65-64.4/0.337173)

=1-0.9624 = 0.0376