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A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each

A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type in the following table.

A B C
38 32 24
36 27 25
31 28 29
42 26
29

Does the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens at significance level 0.05? When appropriate, use a family confidence level of 0.95 for multiple comparisons and interpret your results.

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