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E270 HW6

# E270 HW6 - HOMEWORK PROBLEM SET 6 1 In a test of hypothesis...

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HOMEWORK PROBLEM SET 6 1 In a test of hypothesis, the symbol α represents: a) The level of significance, or the probability of not rejecting a false null hypothesis. b) The level of significance, or the probability of committing a Type I error. c) The power of the test, or the probability of rejecting a false null hypothesis. d) The level of significance, or the probability of committing a Type II error. 2 Which of the following statements about Type I and Type II errors is correct a) Type I: Reject a true alternative hypothesis. Type II: Do not reject a false alternative. b) Type I: Do not reject a false null hypothesis. Type II: Reject a true null hypothesis. c) Type I: Reject a false null hypothesis. Type II: Reject a true null hypothesis. d) Type I: Reject a true null hypothesis. Type II: Do not reject a false null hypothesis. 3 a) b) c) d) 4 a) 0.1 b) 0.05 c) 0.015 d) 0.0212 5 Consider the following hypothesis test. H1: μ > 120 a) b) c) d) 6 What is the probability value of the test statistic? a) 0.0721 b) 0.0869 c) 0.1038 d) 0.1230 7 a) H : μ ≥ 164 H : μ < 164 b) H : μ ≤ 164 H : μ > 164 c) H : μ > 164 H : μ ≤ 164 d) 8 a) b) c) d) 9 a) b) c) d) 10 a) b) c) d) 11 a) prob-value = 0.0668. Conclude that the 2009 mean salary is not greater than the 2008 mean salary. b) prob-value = 0.0668. Conclude that the 2009 mean salary is greater than the 2008 mean salary. c) prob-value = 0.0334. Conclude that the 2009 mean salary is greater than the 2008 mean salary. d) prob-value = 0.0334. Conclude that the 2009 mean salary is greater than the 2008 mean salary. 12 a) |z| = 1.84. Do not conclude the mean is different from 16. Do not shut the line down. b) |z| = 1.84. Conclude the mean is different from 16. Shut the line down. c) |t| = 1.844. Conclude the mean is different from 16. Shut the line down. d) |t| = 1.844. Do not conclude the mean is different from 16. Do not shut the line down. 13 a) |z| = 1.75. Do not conclude the mean scholarship score of entering students is different from 900. b) c) d) Next TWO questions are based on the following Consider the following hypothesis test. H : μ ≥ 15 H : μ < 15 14 x = 13 ̄ a) |t| = 1.172, cv = 1.721. Do not conclude that the mean is less than 15. b) |t| = 1.172, cv = 1.721. Conclude that the mean is less than 15. c) |t| = 1.273, cv = 2.080. Do not conclude that the mean is less than 15. d) |t| = 1.273, cv = 2.080. Conclude that the mean is less than 15. 15 x = 11.5 ̄ a) |t| = 1.052, cv = 1.721. Do not conclude that the mean is less than 15. b) |t| = 1.052, cv = 2.082. Conclude that the mean is less than 15. c) |t| = 2.052, cv = 1.721. Conclude that the mean is less than 15. d) |t| = 2.052, cv = 2.080. Conclude that the mean is less than 15. 16 58 64 59 62 52 63 62 55 Test H0: μ ≤ 55 and H1: μ > 55 with α = 0.05. a) |t| = 2.942, cv = 1.895. Conclude the population mean hours worked per week is greater than 55. b) |t| = 2.942, cv = 1.895. Do not conclude the population mean hours worked per week is greater than 55. c) |t| = 1.752, cv = 1.895. Conclude the population mean hours worked per week is greater than 55. d) |t| = 1.752, cv = 1.895. Do not conclude the population mean hours worked per week is greater than 55.
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