Question 614519: A restaurant association says the typical household spends a mean of $3568 per year on food away from home. You randomly select 12 households and find out how much each spent on food away from home per year. Can you reject the restaurant association's claim at alpha=0.05?
3455 3635 3441 3006 3372 4295 3406 1997 4381 3381 3769 2879
Ho: mu=3568 (claim)
Ha: mu=(with line through the = sign)3568
a) Find the P-value
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A restaurant association says the typical household spends a mean of $3568 per year on food away from home. You randomly select 12 households and find out how much each spent on food away from home per year. Can you reject the restaurant association's claim at alpha=0.05?
3455 3635 3441 3006 3372 4295 3406 1997 4381 3381 3769 2879
Ho: mu=3568 (claim)
Ha: mu=(with line through the = sign)3568
x-bar = 3418
s = 628.98
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t(3418) = (3418-3568)/628.98 = -0.2385
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a) Find the P-value
p-value = 2*tcdf(-100,-0.2385,11) = 0.8159
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Since the p-value is greater than 5%, fail to reject Ho.
The test results support the claim.
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Cheers,
Stan H.
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