Rogaine is a pharmaceutical product developed by Upjohn, which is advertised as "The only product ever proven to regrow hair."Advertisements in national magazines outline the results of clinical tests, in which 347 women with diffuse hair loss were randomly assigned to use either Rogaine or a placebo (a similar solution without the active ingredient.)To avoid biasing the results, neither the patients nor the researchers were aware of which product they were using. The product was applied by rubbing it into clean, dry scalp twice a day.After 8 months participants reported whether they had experienced moderate, minimal or no hair regrowth.The following frequency table contains the data.

Regrowth

Moderate

Minimal

None

Total

Rogaine

33

70

72

175

Placebo

12

57

103

172

Total

45

127

175

347

Calculate the following proportions, leave in fractional form, do not reduce.

a) What proportion of Rogaine users had moderate regrowth?

b)What proportion ofminimal regrowth used the placebo?

c) What proportion of women had no hair regrowth?

12 points

QUESTION 2

2. Suppose you are a marine biologist studying a particular species of whales. The average length of this whale species is 60 feet and the standard deviation is 12 feet. The average length of whales in normally distributed.
4. a) Create a 95% interval.
6. b) You find one member of this particular species of whales and measure it to find its length is 48 feet.
7. What is the z-score corresponding to the length of this whale?
9. c) Is the whale with a length of 48 feet considered an outlier?Yes/No
10. Explain your answer

12 points

QUESTION 3

3. a)What is the maximum amount of income for a police officer?
4. Maximumincome of police officer =
5. b) What is the minimum income for a nuclear engineer?
6. Minimum income of nuclear engineer=
7. c) What is the median income for a nuclear engineer?
8. Median income of nuclear engineer=
9. d) What can one say about the median incomes of a police officer and a musician?
10. e) Is the annual income distribution of a musician skewed to the right, or skewed to the left?
11. Skewed
12. f) What is the numerical value of the Interquartile Range of a musician?
14. Interquartile Range=
15. g) What % of annual income of the musician is 20,000 or less?

21 points

QUESTION 4

1. A study was conducted to determine if taking vitamin C reduces the occurrence of the flu.The study was conducted using 808 student volunteers who did not take a flu shot.The subjects were randomly assigned to one of two groups:a treatment group who received 1,000 milligrams of vitamin C daily or a control group who received a placebo flavored to taste like the vitamin C treatment.The subjects were unaware of what group, treatment or control, they were in.All participants were monitored to ensure that they adhered to their assigned treatment on a daily basis throughout the period of the study.At the end of the flu season, each subject's medical record was reviewed by a physician to determine whether he or she had contracted the flu during the period of the study.The physician did not know which treatment each subject received.
2. a) Is this an observation or an experiment?
3. b) Identify the explanatory variable.
4. c) Identify the response variable.

9 points

QUESTION 5

1. Part II.Matching
2. A recent news article by the Associated Press reports that, "too little sleep - or too much - may raise the risk of developing heart disease, according to a study of nearly 72,000 nurses."Compared to those who average eight hours of sleep a night, women who sleep five or less hours were 39 percent more likely to develop heart disease, while those who sleep nine or more hours had a 37 percent higher risk."Researchers could not explain the findings, but suggested those women might have slept more because of underlying illnesses."
4. Match each of the following with the corresponding elements of the study.Please write clearly.
8. - A. B. C. D. response variable
9. - A. B. C. D. explanatory variable
10. - A. B. C. D. lurking variable
11. - A. B. C. D. cases
12. A.risk of heart disease
13. B.nurses
14. C.underlying illnesses
15. D.average number of hours of sleep

8 points

QUESTION 6

1. Match the appropriate symbol with it's meaning.
3. - A. B. C. D. E. F. G. phat
4. - A. B. C. D. E. F. G.
5. - A. B. C. D. E. F. G. s
6. - A. B. C. D. E. F. G. p
7. - A. B. C. D. E. F. G.
8. - A. B. C. D. E. F. G. x bar
9. - A. B. C. D. E. F. G. n
10. A.population standard deviation
11. B.sample proportion
12. C.sample size
13. D.sample mean
14. E.population mean
15. F.sample standard deviation
16. G.population proportion

14 points

QUESTION 7

1. Part III.Multiple Choice: Circle answer choice clearly or no credit.
2. A marketing firm does a survey to find out how many people use a product. Of the one hundred people contacted, fifteen said they use the product. This study is
6. Observational
8. Experiment

2 points

QUESTION 8

2. A clinic gives a drug to a group of ten patients and a placebo to another group of ten patients to find out if the drug has an effect on the patients' illness. This study is
3. Observational
4. Experimental

2 points

QUESTION 9

1. A pollster uses a computer to generate 500 random numbers, then interviews the voters corresponding to those numbers.Type of sampling is
3. Random
4. Systematic
5. Convenience
6. Stratified

2 points

QUESTION 10

2. In a statistics class with 136 students, the professor records how much money each student has in his or her possession during the first class of the semester. The histogram
3. below is of the data collected.
5. is skewed right
6. has an outlier
7. is notsymmetrical
8. all of the above

2 points

QUESTION 11

2. A news website claims that 30% of all Major League Baseball players useperformance-enhancing drugs ("PEDs") Indignant at this claim, league officials conducts a survey in which 200 randomly selected baseball players are tested. Of the tested players, 52, or 26%, test positive.All Major League Baseball players is a
3. Population
4. Sample

2 points

QUESTION 12

1. You are told that your score on an exam is at the 85 percentile of the distribution of scores. This means that
2. Your score was lower than approximately 85% of the peoplewho took this exam.
3. Your score was higher than approximately85%of the peoplewho took this exam.
4. You answered85%of the questionscorrectly.
5. 85%of the peoplewho took the test had the same score as you.

2 points

QUESTION 13

2. The histogram below shows the typical travel time to school (self-reported) for 50 high school students. Which of the following statements is true about the mean and median of this distribution?
5. mean>median
6. mean
7. mean=median

2 points

QUESTION 14

1. A researcher is interested in the cholesterol levels of adults in the city she lives in. A cholesterol-screening program is set up in the downtown area during the lunch hour. Individuals can walk in and have their cholesterol measured for no charge. In one lunch hour, 173 people use the service, and their average cholesterol level is 217.8. The sample obtained here is an example ofa
2. simple random sample
3. stratified sample
4. convenience sample

2 points

QUESTION 15

1. Which choice lists two statistics thatonly give information about the center of data set?
3. IQR and standarddeviation
4. Mean and standard deviation
5. Median and IQR
6. Mean and median

2 points

QUESTION 16

1. Which choice lists two statistics that give information only about the spread of a dataset?
2. IQR and standard deviation
3. Mean and standard deviation
4. Median andIQR
5. Mean and median

2 points

QUESTION 17

1. Which ofthe following values of r (the correlation coefficient) indicate the strongest linear relationship between two quantitative variables.
2. r=0.88
3. r=0
4. r=- 0.89
5. r=0.50

2 points

QUESTION 18

1. A tax auditor selects every 100th income tax return for auditing purposed.This type of sampling method is
2. Random
3. Systematic
4. Convenience
5. Stratified

2 points

QUESTION 19

2. Part IV Extra Credit
3. In a statistics course, a linear regression equation was computed to predict the final exam score from the score on the first test.The equation was = 10 + .9x where y is the final exam score and x is the score on the first test.Carla scored 95 on the first test.What is the predicted value of her score on the final exam?Which of the following is the proper interpretation of the slope.
4. For every one point increase in first test score, the final exam score will increase on average by .9.
5. For every one pointincrease in final exam score,the first test scorewill
6. increase on average by .9.
7. When the final exam score is 0,the first test scorewill be a 90.
9. When the first test score is 90, the final exam scorewill be 0on average

2 points (Extra Credit)

QUESTION 20

1. Relating to the extra credit problem above,what is the predicted value of Carla's score on the final exam
2. 95
3. 85.5
4. 90
5. 95.5

2 points (Extra Credit)

QUESTION 21

1. Referring to the extra credit above,on the final exam, Carla scored 98. What is the value of her residual?
2. 98
3. 2.5
4. -2.5
5. .3