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Slide 4- 1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Active Learning Lecture Slides For use with Classroom Response Systems Elementary Statistics: Picturing the World Fourth Edition by Larson and Farber Chapter 10: Chi-Square Tests and the F-Distribution

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Slide 10- 2 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley The distribution of favorite ice cream flavor is shown in the graph. The results from a random sample of college students is shown below. Find the expected frequency for the Vanilla category. A. 33.75 B. 22.5 C. 8.1 D. 111.11 ChocolateVanillaStrawberryOther 62302112

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Slide 10- 3 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley The distribution of favorite ice cream flavor is shown in the graph. The results from a random sample of college students is shown below. Find the expected frequency for the Vanilla category. A. 33.75 B. 22.5 C. 8.1 D. 111.11 ChocolateVanillaStrawberryOther 62302112

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Slide 10- 4 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley The distribution of favorite ice cream flavor is shown in the graph. The results from a random sample of college students is shown below. Find the critical value for α = 0.05. A. 9.488 B. 7.815 C. 2.353 D. 1.645 ChocolateVanillaStrawberryOther 62302112

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Slide 10- 5 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley The distribution of favorite ice cream flavor is shown in the graph. The results from a random sample of college students is shown below. Find the critical value for α = 0.05. A. 9.488 B. 7.815 C. 2.353 D. 1.645 ChocolateVanillaStrawberryOther 62302112

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Slide 10- 6 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley The distribution of favorite ice cream flavor is shown in the graph. The results from a random sample of college students is shown below. Find the value of the test statistic. A. 0.949 B. 0.919 C. 37.125 D. 0.010 ChocolateVanillaStrawberryOther 62302112

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Slide 10- 7 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley The distribution of favorite ice cream flavor is shown in the graph. The results from a random sample of college students is shown below. Find the value of the test statistic. A. 0.949 B. 0.919 C. 37.125 D. 0.010 ChocolateVanillaStrawberryOther 62302112

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Slide 10- 8 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Calculate the expected frequency for the highlighted cell E 2,3. A. 20.62 B. 18.33 C. 16.92 D. 15.38 Favorite Pastime GenderReadingTelevisionMusic Male123219 Female102017

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Slide 10- 9 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Calculate the expected frequency for the highlighted cell E 2,3. A. 20.62 B. 18.33 C. 16.92 D. 15.38 Favorite Pastime GenderReadingTelevisionMusic Male123219 Female102017

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Slide 10- 10 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the critical value for α = 0.05. A. 5.991 B. 12.592 C. 2.920 D. 1.645 Favorite Pastime GenderReadingTelevisionMusic Male123219 Female102017

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Slide 10- 11 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the critical value for α = 0.05. A. 5.991 B. 12.592 C. 2.920 D. 1.645 Favorite Pastime GenderReadingTelevisionMusic Male123219 Female102017

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Slide 10- 12 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the value of the test statistic. A. 16.437 B. 15.798 C. 0.751 D. 0.018 Favorite Pastime GenderReadingTelevisionMusic Male123219 Female102017

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Slide 10- 13 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the value of the test statistic. A. 16.437 B. 15.798 C. 0.751 D. 0.018 Favorite Pastime GenderReadingTelevisionMusic Male123219 Female102017

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Slide 10- 14 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the critical F-value for the following situation: Claim: α = 0.10 n 1 = 9; n 2 = 8 A. 2.75 B. 3.73 C. 3.39 D. 3.50

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Slide 10- 15 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the critical F-value for the following situation: Claim: α = 0.10 n 1 = 9; n 2 = 8 A. 2.75 B. 3.73 C. 3.39 D. 3.50

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Slide 10- 16 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the value of the test statistic. Claim: α = 0.10 n 1 = 9; n 2 = 8 A. 1.64 B. 1.13 C. 0.78 D. 1.28

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Slide 10- 17 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the value of the test statistic. Claim: α = 0.10 n 1 = 9; n 2 = 8 A. 1.64 B. 1.13 C. 0.78 D. 1.28

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Slide 10- 18 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley A professor wants to test if the mean score on an exam is the same in all three of his elementary statistics classes. True or False. The appropriate hypotheses would be H 0 : H a : A. True B. False

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Slide 10- 19 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley A professor wants to test if the mean score on an exam is the same in all three of his elementary statistics classes. True or False. The appropriate hypotheses would be H 0 : H a : A. True B. False

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