I need help with this question Anyone please....

Question

anonymous · Answer

Assume that the population of heights of male college students is approximately normally distributed with mean  of 72.15 inches and standard deviation  of 6.39 inches. A random sample of 96 heights is obtained.  Show all work.
(A)  Find P(x>73.25)  
(B)  Find the mean and standard error of the xˉ  distribution 
(C)  Find P(xˉ  > 73.25)
(D)  Why is the formula required to solve (A) different than (C)?

jim_thompson5910 · Answer

for A and C, you need a calculator or a table

jim_thompson5910 · Answer

for part b),

the mean is xbar = 72.15 (since the mean of the xbar distribution is the population mean)


and the standard error is 

sigma/sqrt(n) = 6.39/sqrt(96) = 0.6521766

jim_thompson5910 · Answer

in part D, the difference between the two formulas comes from the fact that the standard deviations are different (in the population, it's 6.39, but in the xbar distribution, it's 0.6521766)

anonymous · Answer

okay thanks I see what your saying now

jim_thompson5910 · Answer

np