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Math · Statistics And Probability
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Personnel in a consumer testing laboratory are evaluating the absorbency of paper towels. They wish to compare a set of store brand towels to a similar group of name brand ones. For each brand they dip a ply of the paper into a tub of fluid, allow the paper to drain back into the vat for two minutes, and then evaluate the amount of liquid the paper has taken up from the vat. A random sample of 9 store brand paper towels absorbed the following amounts of liquid in milliliters.
           8   8   3   1   9   7   5   5   12
An independent random sample of 12 name brand towels absorbed the following amounts of liquid in milliliters:
           12 11 10   6   8   9   9   10   11   9   8   10
Use the 0.05 significance level and test if liquid absorbed by the name brand towels is more than that by the store brand towels. Choose from the following statement as your conclusion after studying this case.

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The p-value is 0.015. We have enough evidence to reject the null hypothesis.
The p-value is 0.015. We don't have enough evidence to reject the null hypothesis.
The p-value is 0.031. We have enough evidence to reject the null hypothesis.
The p-value is 0.031. We don't have enough evidence to reject the null hypothesis.
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