SOLUTION: For a population with µ = 56 & σ = 8 find the z-score for each of the following values: What percentage of the population falls between a score of X = 48 and X = 56? a. ~28%

Algebra ->  Probability-and-statistics -> SOLUTION: For a population with µ = 56 & σ = 8 find the z-score for each of the following values: What percentage of the population falls between a score of X = 48 and X = 56? a. ~28%      Log On


   

Question 950527: For a population with µ = 56 & σ = 8 find the z-score for each of the following values:
What percentage of the population falls between a score of X = 48 and X = 56?
a. ~28% c. ~70%
b. ~48% d. `35
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the corresponding z scores.
z=%28x-mu%29%2Fsigma
z%5B1%5D=%2848-56%29%2F8=-1
z%5B2%5D=%2856-56%29%2F8=0
Find the probabilities,
P%28z%5B2%5D%29=0.5
P%28z%5B1%5D%29=0.158655
So then,
P=P%28z%5B2%5D%29-P%28z%5B1%5D%29
P=0.5-0.158655
P=0.341345