PLEASE SHOW YOUR WORK

3.For a sample with a standard deviation of s 5 12, describe the location of each of the following z-scores in terms of its position relative to the mean. For example, z 5 11.00 is a location that is 12 points above the mean.

a. z = 22.00

b. z =10.75

c. z = 11.00

d. z=21.50

5. For a population with m 5 80 and s 5 9, find the z-score for each of the following X values. (Note: You probably will need to use a formula and a calculator to find these values.)

X =83

X =75

X =91

X =67

X =85

X =68

7. A sample has a mean of M 5 60 and a standard deviation of s 5 7. For this sample, find the z-score for each of the following X values.

X =69

X =72

X =63

X =54

X =49

X =52

9. Find the X value corresponding to z 5 0.75 for each of the following distributions.

a. 90 and 4

b. 90 and 8

c. 90 and 12

d. 90 and 20

11. Find the z-score corresponding to X 5 24 and the X value corresponding to z 5 1.50 for each of the following samples.

a. 20 and 12

b. 20 and 4

c. 30 and 8

d. 30 and 10

21. For each of the following, identify the exam score that should lead to the better grade. In each case, explain your answer. a. A score of X =70, on an exam with M=82 and = 8; or a score of X= 60 on an exam with =72 and =2.

b.

A score of X 5 58, on an exam with m 49 and 6; or a score of X 5 85 on an exam with =70 and =10.

c.

A score of X 5 32, on an exam with m 24 and 4; or a score of X 5 26 on an exam with = 20 and = 2.

25. A sample consists of the following n = 5 scores: 8, 4, 10, 0, 3.

a. Compute the mean and standard deviation for the sample.

b. Find the z-score for each score in the sample.