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33 Practice Questions Exam 1 - Statistical Methods | STA 2023, Exams of Data Analysis & Statistical Methods

Valencia CollegeData Analysis & Statistical Methods

Material Type: Exam; Class: Statistical Methods; Subject: STA: Statistics; University: Valencia Community College; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/03/2009

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STA 2023 Test #1 Practice Multiple Choice
1. An office supply catalog gives a description of bookshelves which includes the
following variables. Which of these variables is categorical?
A) The width of a bookshelf in inches.
B) The width of a bookshelf in feet.
C) The color of the bookshelf.
D) The height of a bookshelf in inches.
2. A particularly common question in the study of wildlife behavior involves
observing contests between 'residents' of a particular area and 'intruders.' In each
contest, the 'residents' either win or lose the encounter (assuming there are no
ties). Observers might record several variables, listed below. Which of these
variables is categorical?
A) The duration of the contest (in seconds).
B) The number of animals involved in the contest.
C) Whether the 'residents' win or lose.
D) The total number of contests won by the 'residents.'
3. A professor records the values of several variables for each student in her class.
These include the variables listed below. Which of these variables is categorical?
A) Score on the final exam (out of 200 points).
B) Final grade for the course (A, B, C, D, or F).
C) The total number of points earned in the class (i.e., the total of the points
on all exams and quizzes in the course. The maximum number of points
possible is 500).
D) The number of lectures the student missed.
4. A consumer group surveyed the prices for a certain item in five different stores,
and reported the average price as $15. We visited four of the five stores, and
found the prices to be $10, $15, $15, and $25. Assuming that the consumer group
is correct, what is the price of the item at the store that we did not visit?
A) $10.
B) $15.
C) $20.
D) $25.
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STA 2023 Test #1 Practice Multiple Choice

  1. An office supply catalog gives a description of bookshelves which includes the following variables. Which of these variables is categorical? A) The width of a bookshelf in inches. B) The width of a bookshelf in feet. C) The color of the bookshelf. D) The height of a bookshelf in inches.
  2. A particularly common question in the study of wildlife behavior involves observing contests between 'residents' of a particular area and 'intruders.' In each contest, the 'residents' either win or lose the encounter (assuming there are no ties). Observers might record several variables, listed below. Which of these variables is categorical? A) The duration of the contest (in seconds). B) The number of animals involved in the contest. C) Whether the 'residents' win or lose. D) The total number of contests won by the 'residents.'
  3. A professor records the values of several variables for each student in her class. These include the variables listed below. Which of these variables is categorical? A) Score on the final exam (out of 200 points). B) Final grade for the course (A, B, C, D, or F). C) The total number of points earned in the class (i.e., the total of the points on all exams and quizzes in the course. The maximum number of points possible is 500). D) The number of lectures the student missed.
  4. A consumer group surveyed the prices for a certain item in five different stores, and reported the average price as $15. We visited four of the five stores, and found the prices to be $10, $15, $15, and $25. Assuming that the consumer group is correct, what is the price of the item at the store that we did not visit? A) $10. B) $15. C) $20. D) $25.
  1. A sample was taken of the salaries of 20 employees of a large company. The following are the salaries (in thousands of dollars) for this year. For convenience, the data are ordered.

28 31 34 35 37 41 42 42 42 47 49 51 52 52 60 61 67 72 75 77

Suppose each employee in the company receives a $3,000 raise for next year (each employee's salary is increased by $3,000). The mean salary for the employees will A) be unchanged. B) increase by $3,000. C) be multiplied by $3,000. D) increase by 3000.

  1. The standard deviation of the salaries for the employees in exercise #5 will A) be unchanged. B) increase by $3,000. C) be multiplied by $3,000. D) increase by 3000.
  2. The median of the data from exercise #5 is A) $42,000. B) $47,000. C) $48,000. D) $49,000.
  3. The first quartile of the data from exercise #5 is A) $35,000. B) $36,000. C) $37,000. D) $39,000.
  4. Referring to the data from exercise #5, the interquartile range (IQR) of this data is A) $19,000. B) $19,500. C) $21,500. D) $49,000.
  5. Referring to the data from exercise #5, suppose each employee in the company receives a $3,000 raise for next year (each employee’s salary is increased by $3,000). The interquartile range of the salaries for the employees will A) be unchanged. B) increase by $3,000. C) be multiplied by $3,000. D) increase by 3000.
  1. A researcher reports that, on average, the participants in his study lost 10.4 lbs. after two months on his new diet. A friend of yours comments that she tried the diet for two months and lost no weight, so clearly the report must be a fraud. Which of the following statements is correct? A) Your friend must not have followed the diet correctly, since she did not lose weight. B) Since your friend did not lose weight, the report must not be correct. C) The report only gives the average. This does not imply that all participants in the study lost 10.4 lbs. or even that all lost weight. Your friend's experience does not necessarily contradict the study results. D) In order for the study to be correct, we must now add your friend's results to those of the study and recompute the new average.
  2. The mean age of five people in a room is 30 years. One of the people whose age is 50 years leaves the room. The mean age of the remaining four people in the room is A) 40. B) 30. C) 25. D) cannot be determined from the information given.
  3. The ages of people in a class (to the nearest year) are as follows:

Age 18 19 20 21 22 23 24 25 32 Number of Students 14 120 200 200 90 30 10 2 1

What is true abut the median age? A) It must be 20. B) It could be any number between 19 and 21. C) It must be 21. D) It must be over 21.

  1. The five-number summary of a set of data is A) the minimum, first quartile, median, third quartile, and maximum. B) the mean, median, mode, variance, and standard deviation. C) any five-digit number that describes the data. D) any five single-digit numbers that are measures of center and spread.
  2. The median age of five people in a meeting is 30 years. One of the people, whose age is 50 years, leaves the room. The median age of the remaining four people in the room is A) 40 years. B) 30 years. C) 25 years. D) cannot be determined from the information given.

30

40

50

60

70

80

90

exam scores

Consider the following box plot of the exam scores in a statistics course

to answer questions #20 and #21.

  1. The median score was approximately A) 90. B) 65. C) 75. D) 60.
  2. The interquartile range is approximately A) 16. B) 55. C) 65. D) 5.
  3. A reporter wishes to portray baseball players as overpaid. Which measure of center should he report as the average salary of major league players? A) The mean. B) The median. C) Either the mean or median. They will be equal in this case. D) Neither the mean nor the median. Both will be much lower than the actual average salary.
  1. Which of the following is not a major principle of experimental design? A) comparative experimentation. B) replication. C) randomization. D) segmentation.
  2. A study of human development showed two types of movies to groups of children. Crackers were available in a bowl, and the investigators compared the number of crackers eaten by children watching the different kinds of movies. One kind of movie was shown at 8 A.M. (right after the children had breakfast) and another at 11 A.M. (right before the children had lunch). It was found that during the movie shown at 11 A.M., more crackers were eaten than during the movie shown at 8 A.M. The investigators concluded that the different types of movies had an effect on appetite. The results cannot be trusted because A) the study was not double-blind. Neither the investigators nor the children should have been aware of which movie was being shown. B) the investigators were biased. They knew beforehand what they hoped the study would show. C) the investigators should have used several bowls, with crackers randomly placed in each. D) the time the movie was shown is a lurking variable.
  3. An amateur gardener decides to change varieties of tomatoes for this year to see if the yield is improved. He put in six plants the previous year and six plants this year using the same part of the garden. The average yield per plant was 11.3 pounds per plant in the previous year and 14.5 pounds per plant using the new variety. This is an example of A) an experiment. B) an observational study, not an experiment. C) the elimination of all confounding variables by design, since the gardener used the same part of the garden in both years. D) a multistage design, since two years were involved.
  4. Researchers wish to determine if a new experimental medication will reduce the symptoms of allergy sufferers without the side effect of drowsiness. To investigate this question, the researchers give the new medication to 50 adult volunteers who suffer from allergies. 44 of these volunteers report a significant reduction in their allergy symptoms without any drowsiness. This study could be improved by A) including people who do not suffer from allergies in the study in order to represent a more diverse population. B) repeating the study with only the 44 volunteers who reported a significant reduction in their allergy symptoms without any drowsiness, and giving them a higher dosage this time. C) using a control group. D) all of the above.
  1. In order to assess the opinion of students at the Ohio State University, a reporter for the student newspaper interviews the first six students he meets who are willing to express their opinion. In this case, the population is A) all reporters for the newspaper. B) all student newspapers of American colleges and universities. C) the 6 students interviewed. D) all students at the Ohio State University.
  2. A public opinion poll in Ohio wants to determine whether registered voters in the state approve of a measure to ban smoking in all public areas. They select a simple random sample of 50 registered voters from each county in the state and ask whether they approve or disapprove of the measure. This is an example of A) a systematic county sample. B) a stratified sample. C) a multistage sample. D) a simple random sample.
  3. The Chronicle of Higher Education (Jan. 29, 1999) published data collected in a survey of a very large number of students who were college freshmen in the fall of 1998. One question asked whether the student was attending his or her first, second, or third choice of university. Fourth or higher choices were combined in a category called “other.” The resulting data is summarized in the pie chart below.

First

Third

Second

Other

Based on this pie chart, we may conclude that a. Over 50% of the universities are first choice. b. Freshmen who answered “third” are least likely to attend their university. This is because their slice of the pie is at the bottom of the chart. c. Less than 25% of the freshmen attended their second choice university. d. The pie chart is incorrect since fourth choice should have been included. ANSWER KEY:

  1. C
  2. C
  3. B
  4. A
  5. B
  6. A
  7. C
  8. D
  9. C

10. A

11. C

12. C

13. A

14. D

15. C

16. C

17. A

18. A

19. D

20. B

21. A

22. A

23. B

24. C

25. B

26. D

27. D

28. D

29. B

30. C

31. D

32. B

33. C