1. A study is being conducted to compare the effectiveness of two medications to reduce cholesterol levels in adults. It is known that the medications are more effective on men. Design an experiment, including a control, for 42 subjects, 21 men and 21 women for testing the effectiveness of these two medications.
Identify the experimental subjects, the factor(s) and its levels, and the response variable.
Explain how you will design the study and include a diagram of your design. Provide a brief rational for your choice of design.
c. Explain how you will use randomization and complete the randomization using the random number table starting at line 14

2. A new weight loss supplement is to be tested at three different levels (once, twice and three times a day). It is suspected that gender may play a role in weight loss with this supplement. Design an experiment, including a control group for 80 subjects (half of whom are men). Your answer should include a diagram and an explanation. Be sure to include how you will do randomization.

3. 95% of the sneakers manufactured by a shoe company have no defects
95% of the sneakers manufactured by a shoe company have no defects. In order to find the 5% that do have defects, inspectors carefully look over every pair of sneakers. Still, the inspectors sometimes make mistakes because 8% of the defective pairs pass inspection and 1% of the good ones fail the inspection.
Incorporate these facts into a tree diagram.
What percent of the pairs of sneakers pass inspection?
If a pair of sneakers passes inspection, what is the probability that it has a defect?

4. A researcher suspected a relationship between people’s preferences in movies and their preferences in pizza. A random sample of 100 people produced the following two-way table:
  Favorite Movie Pepperoni Veggie Cheese
Zorro
Chicken Little
Dreamer
a. Fill in the marginal distributions for this table.
b. What percent of these people prefer pepperoni pizza?
c. What percent of people who prefer veggie pizza like Zorro?
d. What percent of those who like Chicken Little prefer cheese pizza?

5. Suppose that 80% of a university’s students favor abolishing evening exams. You ask 10 students chosen at random what their opinion is on this matter. What is the likelihood that all 10 favor abolishing evening exams?
Describe how you would pose this question to 10 students independently of each other. How would you model the procedure?
Assign digits to represent the answers “Yes” and “No.”
Simulate 25 repetitions, starting at line 129 of Table B. What is your estimate of the likelihood of the desired result.

6. Two 6-sided die are rolled 50 times.
Is this binomial setting? Justify.
What is the probability of getting exactly 8 sevens in these 50 rolls
With the Binomial Formula
With Calculator
What is the probability of getting at most 8 sevens in these 50 rolls?
What is the probability of getting no 12’s in 15 rolls of these die?
What is the probability of getting the first 5 on the 6th roll?

7. Thirty-five percent of all employees in a large corporation are women
Thirty-five percent of all employees in a large corporation are women. If 12 employees are randomly selected, what is the probability that at least 4 of them are women?

8. What is the median of the scores?
The following shows a cumulative frequency chart for the distribution of scores on a 10-question intelligence test.
Score Number
0 2
1 6
2 13
3 28
4 44
5 62
Score Number
6 89
What is the median of the scores?
What is the interquartile range of the scores? Any outliers?
What is the mean of the scores?
Does it appear that the scores are approximately normally distributed?