The Jefferson Valley bank once had a separate customer waiting line at each teller window but it now has a single waiting line that feeds the teller windows as vacancies occur. The standard deviation of customer waiting times of the old multiple line configuration was 1.8 minutes. Listed below is a random sample of the waiting times with the single line. Use the 0.05 significance level to test the claim that the single line waiting times is less than 1.8 minutes. 6.5     6.6     6.7     6.8     7.1 7.3     7.4     7.7     7.7     7.7 A.   Determine the sample standard deviation, reporting (and then using in the calculation for part B) to 4 decimal places.   B.   Determine the test statistic, reporting the answer to 3 decimal places.   C.   Determine the critical value.

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The Jefferson Valley bank once had a separate customer waiting line at each teller window but it now has a single waiting line that feeds the teller windows as vacancies occur. The standard deviation of customer waiting times of the old multiple line configuration was 1.8 minutes. Listed below is a random sample of the waiting times with the single line. Use the 0.05 significance level to test the claim that the single line waiting times is less than 1.8 minutes.

6.5     6.6     6.7     6.8     7.1

7.3     7.4     7.7     7.7     7.7

A.   Determine the sample standard deviation, reporting (and then using in the calculation for part B) to 4 decimal places.

 

B.   Determine the test statistic, reporting the answer to 3 decimal places.

 

C.   Determine the critical value.

 

D.   Does it appear that the single line has resulted in a standard deviation of the waiting times being less than 1.8 minutes?

  • Yes
  • No
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