Consider the approximately normal population of heights of male college students
ID: 3081386 • Letter: C
Question
Consider the approximately normal population of heights of male college students with mean ? = 68 inches and standard deviation of ? = 4.7 inches. A random sample of 21 heights is obtained. (a) Describe the distribution of x, height of male college students. skewed right approximately normal skewed left chi-square (b) Find the proportion of male college students whose height is greater than 67 inches. (Give your answer correct to four decimal places.) (c) Describe the distribution of x, the mean of samples of size 21. skewed right approximately normal skewed left chi-square (d) Find the mean of the x distribution. (Give your answer correct to the nearest whole number.) (ii) Find the standard error of the x distribution. (Give your answer correct to two decimal places.) (e) Find P(x > 70). (Give your answer correct to four decimal places.) (f) Find P(x < 66). (Give your answer correct to four decimal places.)Explanation / Answer
a.)approximately normal
B.)p(X>74)=P(z>74-66/5)=P(z>1.6)=1-0.9452=0.0548
c.)approximately normal
d.)66
ii.)5/13=1.386
e.)P(x>67)=P(z>0.2)=1-0.5793=0.4207
f.)P(x<64)=P(z<-0.4)=1-0.6554=0.3446