Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance.
-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.
$\begin{array}{lll}\text { brandA }&\text {brand B }&\text {brand C }\\hline
260 & 181 & 238 \
218 & 240 & 257 \
184 & 162 & 241 \
219 & 218 & 213
\end{array}$
Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens? Use $\text { Use } \alpha = 0.0$

Question

Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance.
-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. 
$\begin{array}{lll}\text { brandA }&\text {brand B }&\text {brand C }\\hline
260 & 181 & 238 \
218 & 240 & 257 \
184 & 162 & 241 \
219 & 218 & 213
\end{array}$
 Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens? Use $\text { Use } \alpha = 0.0$

Quizplus · Accepted Answer

The Answer is Test statistic: F = 1.620. Critical value: F = 8.02. p-value:0.251.
Fail to reject the claim of equal means. The data do not provide sufficient evidence to conclude that there is a difference in the mean lifetimes of the three brands of ballpoint pen.

Test the Claim That the Samples Come from Populations with the Same