1. If the exam has a mean of μ = 80 and Terry has a score of X = 87, and a z-score of = 1.17, what is the σ for the exam? Show your work.

2. For a population with μ = 48 and σ = 3, find z for each of the following and show your work. Also, indicate whether each score is central to the distribution or whether it is an extreme score.

A. X = 47

B. X = 53

C. X = 41

D. X = 50

E. X = 58

3. For a population with μ = 44 and σ = 7, find X for each of the following and show your work.

A. z = .4

B. z = -.7

C. z = 2.75

D. z = -1.37

E. z = -3.71

4. For the original population data given below:

67, 74, 60, 64, 70, 81, 53

A. Using SPSS, find the mean and standard deviation for this data.

B. Using SPSS, transform the distribution into a distribution with a mean of 50 and a standard deviation of 5. Remember to print out and submit your data file as well as your output.

5. For each of the following, select whether σ = 4 or σ = 13 would give the student in question a better grade. Explain each answer.

A. Dan has X= 70, and the μ for the class is 80.

B. Jill has X = 70, and the μ for the class is 65.

C. Lily has X = 70, and the μ for the class is 70.

**Subject Mathematics General Statistics**