Assuming all of the distributions are normal, find the Z-score for each of the cases: a....
Assuming all of the distributions are normal, find the Z-score for each of the cases:
a. µ = 17, σ = 5, x = 20, Z =?
b. µ = 365, σ = 14, x = 401, Z =?
c. µ = −11.94, σ = 0.73, x = −11, Z =?
d. (A-Grade) µ = 6.4, σ = −1.04, x = −5.2, Z =?
Homework Answers
Solution:
Z = [x - µ ]/σ
a)
Z = [20 - 17]/5 = 0.60
b)
Z = [401 - 365]/14 = 2.57
c)
Z = [-11 - (−11.94)]/0.73 = 1.29
d)
Z = [ −5.2 - 6.4]/1.04 = -11.15
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