1. A sample has a mean of M=100, and standard deviation of S=10. Find the z score for each of the following X values from this sample. A. X=90

B. X=60

C. X=120

D. X=105

E. X=40

2. A random sample of n=25 scores is selected from a normally distributed population with =300, standard deviation of =50. What is the probability that the sample mean will be less than 350.

3. A random sample of n = 25 scores is selected from a normal population with a mean of = 40. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 44.

a. If the population standard deviation is = 5, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with = .05.

b. If the population standard deviation is = 15, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with = .05.

4. A random sample is selected from a normal population with a mean of = 100 and a standard deviation of = 20. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 96.

a. If the sample consists of n = 36 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with = .05.

b. If the sample consists of n = 64 scores, is the sample mean sufficient to conclude that the that the treatment has a significant effect? Use a two-tailed test with = .05.

5. A) A normal population has a =93, and a =4. A random sample of n=9 scores from this population has a mean of 88. What is z score for this sample mean.

B) A normal population has a =79, and a =6. A random sample of n=16 scores from this population has a mean of 90. What is z score for this sample mean.

C) A normal population has a =118, and a =10. A random sample of n=36 scores from this population has a mean of 120. What is z score for this sample mean.

6. A normal distribution has a mean of =50 and a standard deviation of =5. For each of the following scores, indicate whether body is in the right or left of the score and find the proportion of the distribution located in the body.

A. X=65

B. X=38

C. X-46

7. A population has a mean of =95, and a standard deviation =10. Find the z score of the following values:

A. X=80

B. X=90

C. X=50

D. X=110

E. X=20