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.

You need access to Excel or MINITAB to answer this questions. Data
is attached.

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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