SOLUTION: A normal distribution has μ = 30 and σ = 5. (a) Find the z score corresponding to x = 25. (b) Find the z score corresponding to x = 44. (c) Find the raw

Question 1137215: A normal distribution has μ = 30 and σ = 5.
(a) Find the z score corresponding to
x = 25.

(b) Find the z score corresponding to
x = 44.

(c) Find the raw score corresponding to
z = −3.

(d) Find the raw score corresponding to
z = 1.7.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do part (a) and part (c) as they are different problems; while (b) and (d) are similar to (a) and (c), so I'll leave those for you to try out.

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Part (a)

Plug in x = 25, and . Compute to find z.

The z score is z = -1

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Part (c)

Plug in z = -3, ,

Solve for x

Multiply both sides by 5

Add 30 to both sides

The raw score is x = 15.

Note that if you plugged x = 15 into the equation , similar to part (a), then you should get z = -3 which helps confirm the answer.
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