Question 483987: The manager of a large guest house has received complaints that female guests are provided with less prompt service upon approaching the front desk. In observing a sample of 34 male guests, he finds an average of 15.2 seconds with a standard deviation of 5.9. For a sample of 39 female guests, the mean and the standard deviation were 17.4 and 6.4 seconds respectively. Assume equal population standard deviations.
What is the standard error of x¯1 - x¯2
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In observing a sample of 34 male guests, he finds an average of 15.2 seconds with a standard deviation of 5.9. For a sample of 39 female guests, the mean and the standard deviation were 17.4 and 6.4 seconds respectively. Assume equal population standard deviations.
What is the standard error of x¯1 - x¯2
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SE = sqrt[5.9^2/34 + 6.4^2/39] = 1.4402
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Cheers,
Stan H.
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