Instructions: Answer each question, and when required explain your answer. Your explanation must be clear and complete. You may refer to your book, your notes and your homework papers.

1. Explain how to select a simple random sample of 7 elements from the whole numbers running from 1 to 100, using the table on page 570. What sample do you get? Explain in enough detail that I can verify that your sample is the one you should have gotten.

2. Explain how to select a 40% independent sample from the whole numbers running from 1 to 10, using the table on page 570. What sample do you get? Explain in enough detail that I can verify that your sample is the one you should have gotten.

3. Do Problem 37 on page 592.

4. Consider the data 1, 5, 6, 6, 7, 8, 8, 9, 11, 20.
(a) Find the mean of this data.
(b) Find the median of this data.
(c) Find the mode(s) of this data.
(d) Find the range of this data.
(e) Create and label a box and whisker plot of this data.
(f) Find the sample standard deviation of this data.

5. Suppose ACT scores in a particular year are approximately normally distributed with mean 20 and standard deviation of 6.
(a) What z value does 29 represent?
(b) Use the table on page 709 to determine the proportion of test-takers that receive a 29 or better on the ACT test.
(c) What ACT score must you get if 69.15% of test-takers received a higher score?

6. An American Research Group poll of a nationwide random sample of 2,104 likely voters was conducted by telephone March 2-5, 2007. It showed Clinton 42% and McCain 45% (with 10% Undecided). Determine a 95% confidence interval for the 45% McCain figure. Show how you compute your answer.

7. Problem 27 on p. 741.