Unit 3 Test Review Practice

Problems

Here are the annual numbers of deaths from tornadoes in the United States from 1990 through 2000.

34 93 30 33 96 93 52 67 31 49 40

1. What is the mean of this data?

2. What is the standard deviation of this sample data?

3. What is the 5 number summary of this data?

Method A Test Scores:22, 30, 43, 31, 47, 34, 50, 49, 54, 64, 55, 71, 56, 84, 57, 97, 65, 99, 84, 100 Method B Test Scores:25, 38, 29, 47, 33, 49, 47, 51, 54, 54, 68, 56, 75, 57, 92, 59, 99, 72, 100, 92

4. Which of the following statements is true?

A. Method A resulted in a higher mean score but a lower standard deviation than Method B.

B. Method A resulted in a lower mean score and lower standard deviation than Method B.

C. Method A resulted in a higher mean score and higher standard deviation than Method B.

D. Method A resulted in a lower mean score but a higher standard deviation than Method B.

5. You are represented with the following five number summary for test scores at your school:

Boys: 58, 70, 76, 88, 94Girls: 38, 54, 68, 72, 100

Which of the following statements best describe the data?

A. 75% of the girls passed the test.

B. 50% of the boys passed the test.

C. 50% of the girls failed the test.

D. 75% of the boys passed the test.

6. When writing a set of hypothesis for a test situation, which of the following is true?

A. The null hypothesis assumes that something has changed from the true value.

B. The alternate hypothesis assumes no difference in the claimed value and true value.

C. The null hypothesis assumes that the change in the claimed value is incorrect.

D. The alternate hypothesis assumes that the change in the claimed value is incorrect.

7. The booster club wants to determine whether they should sell hot dogs at the concession stand during games. Which of the following would be an example of biased sampling?

A. Randomly select students in the hall of the high school during lunch to survey.

B. Randomly select spectators at a game to survey.

8. A group of students observed some results for a survey on school lunches. They are expanding their sample group for the next round of testing. How is this group of researchers trying to reduce statistical bias from their findings?

A. Using control groups

B. Performing blind studies

C. Seeking replication

D. Using the placebo effect

9. Mrs. Williams is walking into Best Buy. She sees a young lady surveying people as they enter the store. She quickly walks past her and pretends to be in a hurry to not take the survey. This is an example of what type of statistical bias?

A. Observer effect

B. Wording of questions

C. Nonresponse bias

D. Response bias

10. Mr. Martin is so proud of how his elementary school chorus class has sounded that he invites the other teachers to comes and observe them; however, when they walk in the room, the students suddenly become very shy and quiet. This is an example of what type of statistical bias?

A. Undercoverage

B. Observer effect

C. Response bias

D. Wording of questions

For Questions 11-16, match the following words to the description.

A. Induced variability B. Biased statistic C. Wording of questions

D. Observer effect E. Natural variability F. Placebo effect

11. Can occur when there is an error in the data collection method 12. The beneficial effect in a patient following a particular treatment arises from the patient’s expectations concerning the treatment rather than from the treatment itself 13. Occurs when individuals alter their performance or behavior due to the awareness that they are being watched 14. A possible range of outcomes for a given event that occurs as nature allows it to 15. Outside forced act to change the outcome that naturally occurred 16. The way a question is structured can persuade participants to answer in a certain way  

For Questions 17-19, using information from the Tour de France, describe each as variable as:

Categorical or Quantitative

17. Variable: state born

18. Variable: total height

19. Variable: total time

You are going to survey a random sample of the 100 players on the football team. Match each sampling method describe below.

A. Simple random B. Stratified C. Systematic

D. Cluster E. Convenience

20. From the roster randomly choose 3 freshman, 8 sophomores, 10 juniors, and 15 seniors.

21. Choose approachable players that are waiting to go in the game.

22. Pick every 5th player listed on the roster.

23. Randomly generate 20 football players and survey the players who wear those numbers.

24. Randomly select a playing position (running back, wide receiver, QB, etc.) and survey all of the players that play that position.

For Questions 25-26, describe each of the following as:

Experimental or Observational

25. The leg muscles of men aged 60 to 75 were 50% to 80% stronger after they participated in a 16-week high intensity resistance-training twice a week.

26. In 2002, the journal Science reported that a study of women in Finland indicated that having sons shortened the life spans of mothers by about 34 weeks per son, but that daughters helped to lengthen the mothers’ live. (The data came from church records from the period 1640 to 1870.)

27. The box and whisker plot above shows the ages of the students in the Cherokee County School System. Approximately what percent of the students’ ages are between 5 and 9?

A. 35%

B. 45%

C. 50%

D. 55%

For Questions 28-29, you get a phone call from someone conducting a survey on your television viewing habits.

28. You often watch Scandal, but you are too embarrassed to tell the person on the phone about it. Thus, you say you always watch Discovery Channel.

A. Nonresponse biasB. Wording of questionsC. Response biasD. Wording of questions

29. You tell the interviewer that you choose not to participate in the survey and you hang up the phone.

A. Placebo effectB. Nonresponse biasC. Response biasD. Wording of questions

100 students volunteered to participate in an experiment conducted by the Statistics students to reduce their cholesterol. The Chemistry students had developed a drug to lower cholesterol. Answer each question with one of the choices on the right.

30. What are the experimental units (participants)?

31. What is the treatment?

32. What is the variable of interest?

a.Statistics studentsb.100 seniorsc.Student cholesterol

levelsd.Chemistry studentse.Drugs to lower

cholesterol

Use the histogram for Questions 33-34.

33. Describe the shape of the histogram.

34. Find the approximate mean?

For Questions 35-37, find both the margin of error and interval.

35. Sample size = 409; 15%

36. Sample size = 3982; 8%

37. Sample size = 67; 49%

Use the following data for Questions 38-48.

28 46 37 55 41 57 55 59 62 62

38. Range39. Mean40. Standard deviation41. Minimum42. Q1

43. Median44. Q3

45. Maximum46. IQR47. Outliers48. Box-and-Whisker