SOLUTION: A population of values has a normal distribution with μ=33.7μ=33.7 and σ=56.2σ=56.2. You intend to draw a random sample of size n=22n=22. Find the probability that a single

Algebra ->  Probability-and-statistics -> SOLUTION: A population of values has a normal distribution with μ=33.7μ=33.7 and σ=56.2σ=56.2. You intend to draw a random sample of size n=22n=22. Find the probability that a single       Log On


   

Question 1174497: A population of values has a normal distribution with μ=33.7μ=33.7 and σ=56.2σ=56.2. You intend to draw a random sample of size n=22n=22.
Find the probability that a single randomly selected value is greater than -2.2.
P(X > -2.2) =
Find the probability that a sample of size n=22n=22 is randomly selected with a mean greater than -2.2.
P(M > -2.2) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
for 1 z=(x-mean)/sd or (-2-33.7)/56.2 or z >-0.635 or prob. = 0.7373
-
for 2, z=(x-mean)/sd/sqrt(n) or -35.7*sqrt(22)/56.2 or z > -2.98 or prob. = 0.9986