Test the claim that the samples come from populations with the same mean.  Assume that the populations are normally distributed with the same variance.  Use a significance level of 0.01.  Show work.   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.                Brand 1                      Brand 2                Brand 3                 260                              181                        238                 218                              240                        257                 184                              162                        241                 219                              218                        213 Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens

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25.  Test the claim that the samples come from populations with the same mean.  Assume that the populations are normally distributed with the same variance.  Use a significance level of 0.01.  Show work.

 

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.

               Brand 1                      Brand 2                Brand 3

                260                              181                        238

                218                              240                        257

                184                              162                        241

                219                              218                        213

Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens? 

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