SOLUTION: Let μ = 160 and σ = 16. (See Example 6.) (a) Find the z-score for the score 180. (b) Find the z-score for the score 130. (c) Find the z-score for the s

Algebra ->  Finite-and-infinite-sets -> SOLUTION: Let μ = 160 and σ = 16. (See Example 6.) (a) Find the z-score for the score 180. (b) Find the z-score for the score 130. (c) Find the z-score for the s      Log On


   

Question 1130372: Let μ = 160 and σ = 16. (See Example 6.)
(a) Find the z-score for the score 180.


(b) Find the z-score for the score 130.


(c) Find the z-score for the score 160.


(d) Find the score x if the z-score = 1.
x =

(e) Find the score x if the z-score = −0.875.
x =

Answer by MathLover1(20850) About Me  (Show Source):
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Letmu+=+160+ and delta+=+16. (See Example 6.)


(a) Find the z-score for the score 180.
let the score be x
z=%28x-mu%29%2Fdelta
z=%28180-160%29%2F16
z=20%2F16
z=5%2F4
z=1.25


(b) Find the z-score for the score 130.
z=%28x-mu%29%2Fdelta
z=%28130-160%29%2F16
z=-30%2F16
z=-1.875

(c) Find the z-score for the score 160.
z=%28x-mu%29%2Fdelta
z=%28160-160%29%2F16
z=0%2F16
z=0


(d) Find the score x if the z-score = 1.
1=%28x-160%29%2F16
16=x-160
16%2B160=x
x=176

(e) Find the score x if the z-score =+-0.875.
-0.875=%28x-160%29%2F16
-0.875%2A16=x-160
-14=x-160
-14%2B160=x
x=146