# statistics

1. Suppose you administered an anxiety test to a large sample of people and obtained normally distributed scores with a mean of 45 and a standard deviation of 4. Do not use the web calculator to answer the following questions. Instead, use the Z distribution table below and Appendix A in the Jackson text.

a. If Andrew scored 45 on this test, what is his Z score? Z score = Zero
45-45/4 = 0
b. If Anna scored 30 on this test, what is her Z score? Z score = -3.750
30-45/4 =-3.750
c. If Bill’s Z score was 1.5, what is his real score on this test? His real score is 93.3
1.5 is the Z score the area between the mean and z (0.433+ 0.50 = 0.933 X 100)
There are 200 students in a sample. How many of these students will have scores that fall under the score of 41

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1. Z = (score-mean)/SD = (45-45)/4 = 0
Need the parenthesis.

b. Z = (30-45)/4 = -15/4 = ?

c. No. 1.5 = (x-45)/4
Solve for x.

d. Z = (41-45)4 = -1

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score. Multiply by 200.

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