SOLUTION: Find the z-score corresponding to a score of X = 100 for each of the following distributions: a. μ = 80 and σ = 10 b. μ = 80 and σ = 5 c. μ = 105 and

Algebra ->  Probability-and-statistics -> SOLUTION: Find the z-score corresponding to a score of X = 100 for each of the following distributions: a. μ = 80 and σ = 10 b. μ = 80 and σ = 5 c. μ = 105 and       Log On


   



Question 593022: Find the z-score corresponding to a score of X = 100 for each of the following distributions:
a. μ = 80 and σ = 10
b. μ = 80 and σ = 5
c. μ = 105 and σ = 10
d. μ = 105 and σ = 5
Make sure to indicate the direction (sign) of the z-scores.

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z-score corresponding to a score of X = 100 for each of the following distributions:
.
formula:
z = (x-μ)/σ
.
a. μ = 80 and σ = 10
z = (x-μ)/σ
z = (100-80)/10
z = 20/10
z = +2
.
b. μ = 80 and σ = 5
z = (x-μ)/σ
z = (100-80)/5
z = 20/5
z = +4
.
c. μ = 105 and σ = 10
z = (x-μ)/σ
z = (100-105)/10
z = -5/10
z = -0.5
.
d. μ = 105 and σ = 5
z = (x-μ)/σ
z = (100-105)/5
z = -5/5
z = -1