# Homework Chapter 3

Assignment:

Objective: Apply techniques Convert between raw scores and Z-scores

1. On the Multidimensional Scale of Perceived Social Support, the mean of a university student sample was 5.80, with a standard deviation of 0.86. For a student who scored 6.2 on the scale, what is the Z-score? The Z-score is ______________.
2. On the Multidimensional Scale of Perceived Social Support, the mean of a university student sample was 5.80, with a standard deviation of 0.86. For a student who scored 4.1 on the scale, what is the Z-score? The Z-score is ______________.
3. On the Multidimensional Scale of Perceived Social Support, the mean of a university student sample was 5.80, with a standard deviation of 0.86. For a student whose Z-score is 0, what is the raw score? The raw score is ______________.
4. On the Multidimensional Scale of Perceived Social Support, the mean of a university student sample was 5.80, with a standard deviation of 0.86. For a student whose Z-score is -0.80, what is the raw score? The raw score is ______________.

Objective: Apply concepts Compare scores on different scales using standard scores.

1. Two siblings wish to compete for bragging rights on who performed best on their standardized test – but one took the LSAT for law school and the other took the MCAT for medical school. Sarah scored 163 (M=151.88, SD=9.95), but Rachel scored 510 on the MCAT (M=500.9, SD=10.6). The sibling who scored highest was ______________.

Objective: Apply techniques Working with Areas under the Normal Curve

1. Assuming that scores on a creativity measure are normally distributed, with a mean of 90 and a standard deviation of 10, what is the probability of an individual scoring below 60? The probability is ______________.
2. Assuming that scores on a creativity measure are normally distributed, with a mean of 90 and a standard deviation of 10, between which values do the middle 50% of people score? (Hint: the middle 50% would be if you shade outward from the middle of the distribution in both directions until 50% of the distribution is shaded.) The middle 50% score between ______________.
3. Assuming that scores on a creativity measure are normally distributed, with a mean of 90 and a standard deviation of 10, what is the probability of an individual scoring above 72? The probability is ______________.
4. At an art school, a student is expressing a great deal of pride for being in the 90th percentile on a creativity measure that is normally distributed, with a mean of 90 and a standard deviation of 10. What raw score did the student have? The score is ______________.