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Question 352616: The population mean waiting time of customers of the XYZ Burger chain is 3.4 minutes with a population standard deviation of 1.2 minutes. The customer service department found in a sample of 50 customers that the mean waiting time was 3.2 minutes. At the 4% significance level, can we conclude that the mean waiting time is different from the population mean?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The population mean waiting time of customers of the XYZ Burger chain is 3.4 minutes with a population standard deviation of 1.2 minutes. The customer service department found in a sample of 50 customers that the mean waiting time was 3.2 minutes. At the 4% significance level, can we conclude that the mean waiting time is different from the population mean?
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Ho: u = 3.4
Ha: u is not 3.4
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x-bar = 3.2
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t(3.2) = (3.2-3.4)/[1.2/sqrt(50)] = -1.1785
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p-value = 2*P(t< -1.1785 when df = 49) = 0.2443
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Since the p-value is greater than 4%, fail to reject Ho.
The test results support the Ho claim at the 4% significance level.
Cheers,
Stan H.
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