Exam 11: Statistical Inference Concerning Variance

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A two-tailed test is used to determine if two population variances differ.The null hypothesis takes the form H0

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Use the F table to approximate these probabilities. a.P(F(8,12) ≥ 2.85) b.P(F(8,12) < 0.4) c.P(F(5,5) ≥ 7.15) d.P(F(5,5) < 0.09)

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Amie Jackson,a manager at Sigma travel services,makes every effort to ensure that customers attempting to make online reservations do not have to wait too long to complete the reservation process.The travel website is open for reservations 24 hours a day,and Amie regularly checks the website for the waiting time to maintain consistency in service.She uses the following independently drawn samples of wait time during two peak hours,morning 8a.m.to 10 a.m.and evening 7p.m.to 9p.m. ,for the analysis.Assume that wait times are normally distributed. Amie Jackson,a manager at Sigma travel services,makes every effort to ensure that customers attempting to make online reservations do not have to wait too long to complete the reservation process.The travel website is open for reservations 24 hours a day,and Amie regularly checks the website for the waiting time to maintain consistency in service.She uses the following independently drawn samples of wait time during two peak hours,morning 8a.m.to 10 a.m.and evening 7p.m.to 9p.m. ,for the analysis.Assume that wait times are normally distributed.   Which of the following is the correct approximation of the p-value? Which of the following is the correct approximation of the p-value?

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The null hypothesis The null hypothesis   is rejected if the value of the test statistic exceeds   . is rejected if the value of the test statistic exceeds The null hypothesis   is rejected if the value of the test statistic exceeds   . .

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Which of the following is the value of x for which Which of the following is the value of x for which

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Which of the following is the value of x for which Which of the following is the value of x for which   ? ?

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Find the value x for which a.P( Find the value x for which a.P(   ≥ x)= 0.10. b.P(   < x)= 0.10. c.P(   ≥ x)= 0.05. d.P(   < x)= 0.05. ≥ x)= 0.10. b.P( Find the value x for which a.P(   ≥ x)= 0.10. b.P(   < x)= 0.10. c.P(   ≥ x)= 0.05. d.P(   < x)= 0.05. < x)= 0.10. c.P( Find the value x for which a.P(   ≥ x)= 0.10. b.P(   < x)= 0.10. c.P(   ≥ x)= 0.05. d.P(   < x)= 0.05. ≥ x)= 0.05. d.P( Find the value x for which a.P(   ≥ x)= 0.10. b.P(   < x)= 0.10. c.P(   ≥ x)= 0.05. d.P(   < x)= 0.05. < x)= 0.05.

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How does the width of the interval respond to the changes in the confidence interval?

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Consider the expected returns (in percent)from the two investment options.Beth claims that the variances of the returns for the two investments differ.Use the following data to arrive at the results. Consider the expected returns (in percent)from the two investment options.Beth claims that the variances of the returns for the two investments differ.Use the following data to arrive at the results.   Which of the following is the correct p-value? Which of the following is the correct p-value?

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Which of the following is the formula for a confidence interval for the ratio of the population variances Which of the following is the formula for a confidence interval for the ratio of the population variances

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If independent samples of size n1 and n2 are drawn from normal populations with equal variances,then the value of the If independent samples of size n<sub>1</sub> and n<sub>2</sub> are drawn from normal populations with equal variances,then the value of the   statistic is calculated as statistic is calculated as

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