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Chapter 11: Inference for Distributions of Categorical Data

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The Practice of Statistics for AP
Pages: 675 - 736
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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110 Questions for Chapter 11: Inference for Distributions of Categorical Data

  1. Aw, nuts! A company claims that each batch of its deluxe mixed nuts contains 52%cashews, 27%almonds,13%macadamia nuts, and 8% brazil nuts. To test this claim, a quality control inspector takes a random sample of 150nuts from the latest batch. The one-way table below displays the sample da

    Found on Page 692
  2. Mars, Inc., reports that their M&M’S Peanut Chocolate Candies are produced according to the following color distribution: 23%each of blue and orange, 15%each of green and yellow, and 12%each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12blue, 7orange,13green, 4yellow, 8red, and 2

    Found on Page 681
  3. Representative sample? For a class project, a group of statistics students is required to take an SRS of students from their large high school to take part in a survey. The students’ sample consists of 54freshmen, 66sophomores, 56juniors, and 30seniors. The school roster shows that 29%of the students enrolled at the school are freshmen, 27%are sophomores, 25% are juniors, and 19% are

    Found on Page 732
  4. A chi-square goodness-of-fit test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely). The spinner is spun 100 times, and the results are recorded. The degrees of freedom for the test will be

    Found on Page 733
  5. A company claims that each batch of its deluxe mixed nuts contains 52%cashews, 27%almonds, 13%macadamia nuts, and 8%brazil nuts. To test this claim, a quality control inspector takes a random sample of 150nuts from the latest batch. The one-way table below displays the sample

    Found on Page 692
  6. No chi-squareThe principal in Exercise 9also asked the random sample of students to record whether they did all of the homework that was assigned on each of the five school days that week. Here are the data:

    Found on Page 693
  7. A Type I error would occur if we conclude that

    Found on Page 735
  8. Benford’s lawFaked numbers in tax returns, invoices, or expense account claims often display patterns that aren’t present in legitimate records. Some patterns are obvious and easily avoided by a clever crook. Others are more subtle. It is a striking fact that the first digits of numbers in legitimate records often follow a model known as Benford’s law.3 Call the first digit of a randomly chosen record X for short. Benford’s law gives this probability model for X (note that a first digit can’t be 0):

    Found on Page 693
  9. A large distributor of gasoline claims that 60%all cars stopping at their service stations choose regular unleaded gas and that premium and supreme are each selected 20%of the time. To investigate this claim, researchers collected data from a random sample of drivers who put gas in their vehicles at the distributor's service stations in a large city. The results were as follows:

    Found on Page 735
  10. Mars, Inc., reports that their M&M’S Peanut Chocolate Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown

    Found on Page 681

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