# A sample has a mean of M = 40 with a standard deviation of s = 8. Find the score coressponding to the z-score for this sample z = -0.50

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### 1 Answer

We are given `bar(x)=40,s=8,z=-0.5`

`` Find x:

Use `z=(x-bar(x))/s` and solve for x:

`x-bar(x)=zs ==> x=zs+bar(x)` Plugging in the given values yields:

`x=40+8(-.5)=36`

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**The score will be 36**

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Note that the z-score says that the score will be 1/2 of a standard deviation below the mean.