SOLUTION: 11. Assume that the population of heights of female college students is approximately normally distributed with mean m of 66.24 inches and standard deviation s of 5.07 inches. A ra

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Question 644843: 11. Assume that the population of heights of female college students is approximately normally distributed with mean m of 66.24 inches and standard deviation s of 5.07 inches. A random sample of 72 heights is obtained. Show all work. -
(A) Find P(x>65.75)
(B) Find the mean and standard error of the xbar distribution
(C) Find P(xbar>65.75).
(D) Why is the formula required to solve (A) different than (C)?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Assume that the population of heights of female college students is

 approximately normally distributed with mean m of 66.24 inches and standard

 deviation s of 5.07 inches. A random sample of 72 heights is obtained

(A) Find P(x>65.75) = P(z+%3E+%2865.75-66.24%29%2F5.07)Find z and then determine corresponding P-value

 (B) Find the mean and standard error of the xbar distribution

 mean = 66.24, SD = 5.07%2Fsqrt%2872%29 

 (C) Find P(x >65.75)= P(t+%3E+%2865.75+-66.24%29%2F%285.07%2Fsqrt%2872%29%29)Find t and then determine corresponding P-value 

(D) Why is the formula required to solve (A) different than than (C)?

x is a sample mean