SOLUTION: Help! I got part of it, but I am boggled. Let μ = 160 and σ = 16. Find the z-score for the score 180 = 1.25 Find the z-score for the score 150 = -0.625 Find the sc

Algebra ->  Probability-and-statistics -> SOLUTION: Help! I got part of it, but I am boggled. Let μ = 160 and σ = 16. Find the z-score for the score 180 = 1.25 Find the z-score for the score 150 = -0.625 Find the sc      Log On


   

Question 477209: Help! I got part of it, but I am boggled.
Let μ = 160 and σ = 16.
Find the z-score for the score 180 = 1.25
Find the z-score for the score 150 = -0.625
Find the score x if the z-score = 1 = x = ?????? PLEASE HELP
Find the score x if the z-score = x = −0.875 ???????
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The first two are correct.

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# 3

Using the formula z=%28x-mu%29%2Fsigma, if the z-score is 1, then


z=%28x-mu%29%2Fsigma


1=%28x-160%29%2F16


1%2A16=x-160


16=x-160


16%2B160=x


176=x


x=176


So if x=176, then the z-score is 1.

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# 4

Using the formula z=%28x-mu%29%2Fsigma, if the z-score is -0.875, then


z=%28x-mu%29%2Fsigma


-0.875=%28x-160%29%2F16


-0.875%2A16=x-160


-14=x-160


-14%2B160=x


146=x


x=146


So if x=146, then the z-score is -0.875.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let μ = 160 and σ = 16.
Find the z-score for the score 180 = 1.25
Find the z-score for the score 150 = -0.625
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For the following problems,
since z = (x-u)/s, x = zs + u
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Find the score x if the z-score = 1
x = 1*16 + 160 = 176
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Find the score x if the z-score = x = −0.875
x = -0.875*16+160 = 146
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Cheers,
Stan H.
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