Assignment # 4: Normal Distribution and Standard Scores

Assuming a Normal distribution for all cases:

1. Give the Z scores for the following:

a. Mean 100, SD 10, X = 15

b. Mean 3200, SD 300, X = 2980

c. Mean 83, SD 10.65, X = 81

2. If the mean score is 4000 and the SD is 1000, what score must be achieved to be higher than 15.87% of the scores, 10% of the scores?

3. If the mean is 7 and the SD is 2, what percent of scores are less than 9, are less than 10?

4. If the mean is 100 and the SD is 20, what percent of scores are between 125 and 135?