SOLUTION: Could you provide the steps to performing this problem...the formulas alone would help...thank you. A dietician investigated whether apples washed in hot water or in cold water

Question 322825: Could you provide the steps to performing this problem...the formulas alone would help...thank you.
A dietician investigated whether apples washed in hot water or in cold water turned brown at different rates when exposed to air. She took 13 random apples and cut each in half. She washed one half of each apple in hot water and the other half in cold water, and then put both halves out in a tray. Her results (in hours until turning a particular shade of brown) are in the table below. At = .01, did she see a difference between the two treatments?
Hot Water Cold Water
Sample mean 5.50 4.85
Sample variance 2.60 2.00
A) No, because the test value �1.09 is inside the range (-3.055, 3.055).
B) No, because the test value �0.79 is inside the range (-3.055, 3.055).
C) Yes, because the test value �0.79 is inside the range (-3.012, 3.012).
D) Yes, because the test value �1.09 is outside the range (-3.012, 3.012).

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At = .01, did she see a difference between the two treatments?
Hot Water Cold Water
Sample mean 5.50 4.85
Sample variance 2.60 2.00
----
The critical values for a 2-tail t-test with df= 12 = +-3.055
The test statistic for your data is 1.09
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Answer: A
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Cheers,
Stan H.
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A) No, because the test value �1.09 is inside the range (-3.055, 3.055).
B) No, because the test value �0.79 is inside the range (-3.055, 3.055).
C) Yes, because the test value �0.79 is inside the range (-3.012, 3.012).
D) Yes, because the test value �1.09 is outside the range (-3.012, 3.012).
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