Question 220667: Sally’s Beauty Salon just opened for business. Sally assigns the stylists customers on a rotation basis so that everyone is kept busy all day. One month after she opened the salon, Sally’s customer count for each stylist was (a) 20 customers; (b) 30 customers; (c) 15 customers; and (d) 25 customers. Has Sally been fair in how she allocates customers to each of the stylists?
I know that this is parametric, but why exactly is it parametric?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Sally’s customer count for each stylist was (a) 20 customers; (b) 30 customers; (c) 15 customers; and (d) 25 customers.
Has Sally been fair in how she allocates customers to each of the stylists?
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This is a "Chi-Sq Goodness-of-Fit" problem.
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Expected: 90/4,90/4,90/4,90/4
Observed: 20,30,15,25
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To make the Expected and the Observed whole numbers use:
Expected: 90,90,90,90
Observed: 80,120,60,100
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Ho: The proportions are equal
H1: At least one of the proportions is not
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I ran a Chi-Sq Goodness-of-Fit Test and got the following:
test statistic: Chi-Sq. = 24.75
p-value: 0.00001741...
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Conclusion: Reject Ho at the 1% significance level.
At least one of the proportions is not equal.
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Cheers,
Stan H.
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