Question

PROBLEM SOLVING INVOLVING THE NORMAL CURVE CONCEPTS

Given = 30 and = 4.5. Express the raw score for each of the following.

1. z = 1.25

2. z = -1.67

3. z = 2.3

4. z = -0.30

5. z = 1.96

Answer 1

Given, $\mu=30,\sigma=4.5$

1. z = 1.25

Raw score $x=\mu+z\times \sigma=30+1.25\times 4.5=35.625$

2. z = -1.67

Raw score $x=\mu+z\times \sigma=30-1.67\times 4.5=22.485$

3. z = 2.3

Raw score $x=\mu+z\times \sigma=30+2.3\times 4.5=40.35$

4. z = -0.30

Raw score $x=\mu+z\times \sigma=30-0.30\times 4.5=28.65$

5. z = 1.96

Raw score $x=\mu+z\times \sigma=30+1.96\times 4.5=38.82$