Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Question
8.38 Speeding and young drivers. Psychologists conducted a survey of 258 student drivers and their attitudes toward speeding and reported the results in the British Journal of Educational Psychology (Vol. 80, 2010). One of the vari- ables of interest was the response to the question, "Are you confident that you can resist your friends' persuasion to drive faster?" Each response was measured on a 7-point scale, from 1 = "definitely no" to 7 = "definitely yes." The data were collected 5 months after the students had attended a safe-driver presentation. The psychologists re- ported a sample mean response of 4.98 and a sample stan- dard deviation of 1.62. Suppose it is known that the true mean response of students who do not attend a safe-driver presentation is μ = 4.7. a. Set up the null and alternative hypotheses for test- ing whether the true mean student-driver response 5 months after a safe-driver presentation is larger than 4.7. b. Calculate the test statistic for the hypothesis test. c. Find the rejection region for the hypothesis test, using a = .05. d. State the appropriate conclusion, in the words of the problem. e. Do the test results indicate that the safe-driver presen- tation was effective in helping students feel more con- fident that they can resist their friends' persuasion to drive faster? Explain. f. The distribution of response scores (on a 7-point scale) for all student drivers is unlikely to be normal. Does this impact the validity of the hypothesis test? Why or why not?
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Transcribed Image Text:8.38 Speeding and young drivers. Psychologists conducted a survey of 258 student drivers and their attitudes toward speeding and reported the results in the British Journal of Educational Psychology (Vol. 80, 2010). One of the vari- ables of interest was the response to the question, "Are you confident that you can resist your friends' persuasion to drive faster?" Each response was measured on a 7-point scale, from 1 = "definitely no" to 7 = "definitely yes." The data were collected 5 months after the students had attended a safe-driver presentation. The psychologists re- ported a sample mean response of 4.98 and a sample stan- dard deviation of 1.62. Suppose it is known that the true mean response of students who do not attend a safe-driver presentation is μ = 4.7. a. Set up the null and alternative hypotheses for test- ing whether the true mean student-driver response 5 months after a safe-driver presentation is larger than 4.7. b. Calculate the test statistic for the hypothesis test. c. Find the rejection region for the hypothesis test, using a = .05. d. State the appropriate conclusion, in the words of the problem. e. Do the test results indicate that the safe-driver presen- tation was effective in helping students feel more con- fident that they can resist their friends' persuasion to drive faster? Explain. f. The distribution of response scores (on a 7-point scale) for all student drivers is unlikely to be normal. Does this impact the validity of the hypothesis test? Why or why not?
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