statistics 8.4 and 8.5.docx

# statistics 8.4 and 8.5.docx - Matthew Molina MAT 150WB...

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Matthew Molina MAT 150WB Special Assignment for Sections 8.4 – 8.5 1) The listed values are waiting times (in minutes) of customers at the Jefferson Value Bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than 1.9 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. 6.5 6.6 6.7 6.8 7.1 7.3 7.4 7.7 7.7 7.7 x 2 = ( n -1) s 2 / 2 =1.9 n =10 s = 0.47 H 0: = 1.9 H 1: < 1.9 The degrees of freedom are 9. Since α = 0.05 and this test is left-tailed test, use the value 1- 0.05= 0.95 The critical value is 3.325 x 2 = (10-1)(.47) 2 / 1.9 2 = (9) (.22) / 3.61 = 1.98 / 3.61 = .548 The Decision is to reject the null hypothesis, since the test value (.548) does fall in the critical region. There is enough evidence to reject the claim that standard deviation of waiting times is

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• Spring '16
• Standard Deviation, Null hypothesis, Statistical hypothesis testing, Statistical power, single waiting line, Jefferson Value Bank

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