SOLUTION: Suppose x has a distribution with mean=29 and SD= 28 a) if a random sample of size n= 32 is drawn, find mean of x bar and standard deviation of X bar. And P (29<xbar< 31)

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose x has a distribution with mean=29 and SD= 28 a) if a random sample of size n= 32 is drawn, find mean of x bar and standard deviation of X bar. And P (29<xbar< 31)      Log On


   

Question 1179018: Suppose x has a distribution with mean=29 and SD= 28
a) if a random sample of size n= 32 is drawn, find mean of x bar and standard deviation of X bar. And P (29
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal distribution: with µ = 29 and σ = 28
a) if a random sample of size n= 32 is drawn:
  x̄ = 29   and s = 28/ √32
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
 P (29 < x̄ < 31) = normalcdf(29,31, 29,28/√32) = .1569

Wish You the Best in your Studies.