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Chapter 2: Modeling Distributions of Data

The Practice of Statistics for AP
Pages: 83 - 140
The Practice of Statistics for AP

The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339

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118 Questions for Chapter 2: Modeling Distributions of Data

  1. Shoes How many pairs of shoes do students have? Do girls have more shoes than boys? Here are data from a random sample of 20 female and 20 male students at a large high school:

    Found on Page 105
  2. Consider the height distribution for 15-year-old males.

    Found on Page 136
  3. T2.1. Many professional schools require applicants to take a standardized test. Suppose that 1000 students take such a test. Several weeks after the test, Pete receives his score report: he got a 63, which placed him at the 73rd percentile. This means that

    Found on Page 138
  4. Light it up! The graph below is a cumulative relative frequency graph showing the lifetimes (in hours) of 200 lamps.

    Found on Page 106
  5. Questions T2.9 and T2.10 refer to the following setting. Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990swas 470and the standard deviation was 110. In 2009, the mean was 515and the standard deviation was 116 .T2.10. Jane took the SAT in 1994and scored 500. Her sister Colleen took the SAT in 2009and scored 530. Who did better on the exam, and how can you tell?(a) Colleen-she scored 30 points higher than Jane.(b) Colleen-her standardized score is higher than Jane's.(c) Jane-her standardized score is higher than Colleen's.(d) Jane-the standard deviation was bigger in 2009.(e) The two sisters did equally well-their z

    Found on Page 139
  6. R2.10 Grading managers Many companies "grade on a bell curve" to compare the performance of their managers and professional workers. This forces the use of some low-performance ratings, so that not all workers are listed as "above average." Ford Motor Company's "performance management process" for a time assigned 10%A grades, 80%B grades, and 10%C grades to the company's 18,000managers. Suppose that Ford's performance scores really are Normally distributed. This year, managers with scores less than 25received C's, and those with scores above 475received A's. What are the mean and standard deviation of the scores? Show yo

    Found on Page 137
  7. SAT versus ACT Eleanor scores 680 on the SAT Mathematics test. The distribution of SAT scores is

    Found on Page 106
  8. R2.11 Fruit fly thorax lengths Here are the lengths in millimeters of the thorax for 49 male fruit flies: 18

    Found on Page 138
  9. T2.11. As part of the President's Challenge, students can attempt to earn the Presidential Physical Fitness Award or the National Physical Fitness Award by meeting qualifying standards in five events: curl-ups, shuttle run, sit and reach, one-mile run, and pull-ups. The qualifying standards are based on the 1985School Population Fitness Survey. For the Presidential award, the standard for each event is the 85thpercentile of the results for a specific age group and gender among students who participated in the 1985survey. For the National award, the standard is the 50th percentile. To win either award, a student must meet the qualifying standard for all five events.Jane, who is 9years old, did 40curl-ups in one minute. Matt, who is 12years old, also did 40curl-ups in one minute. The qualifying standard for the Presidential award is 39curl-ups for Jane and 50curl-ups for Matt. For the National award, the standards are 30and 40, respectively.(a) Compare Jane's and Matt's performances using percentiles. Explain in language simple enough for someone who knows little statistics to understand.(b) Who has the higher standardized value (z-score), Ja

    Found on Page 139
  10. The distribution of heights of young women aged 18to 24is approximately N(64.5,2.5)

    Found on Page 114

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