SHOW ALL WORK. Answers with no work will be counted as incorrect. This is an independent assignment and should be completed on your own.

1.The scores on the SAT are normally distributed. What percent of the scores fall within one standard deviation above and below the mean?

2.For each z-score, find the percent of data that falls below the given z-score.

a.z = -.47

b.z = 2.24

3.For each z-score, find the percent of data that is above the given z-score.

a.z = .24

b.z = -2.07

4.For each z-score, find the percent of data between the mean and the given z-score.

a.z = 1.17

b.z = -1.37

5.The Welcher Adult Intelligence Test is composed of a number of subtests. On one subtest, the raw scores have a mean of 35 and a standard deviation of 6.

a.What percentage of raw scores fall between 28 and 38?

b.What percentage of raw scores fall between 41 and 44?

6.Fran and Charlie took a spatial abilities test (mean = 80, standard deviation = 8). Fran scored 76 and Charlie scored 94. What percent of individuals scored between Fran and Charlie?

7.The weight of chocolate bars from a particular chocolate factory has a mean of 8 ounces and a standard deviation of .1 ounce. What is the z-score corresponding to a weight of 8.17 ounces? What does this z-score tell you about the candy bar?