Use Software to Conduct the Analysis of Variance Test Do the Data Indicate That There Is a Difference in a Significance

question 29

Multiple Choice

Use software to conduct the analysis of variance test. Use a significance level of 0.05 to test the null hypothesis.
-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.
$\begin{array}{ccc} \underline{\text { Brand } 1}& \underline{ \text { Brand } 2}& \underline{ \text { Brand } 3}\\ 260 & 181 & 238 \\218 & 240 & 257 \\184 & 165 & 241 \\219 & 218 & 213\end{array}$
Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens?

• A)Yes
• B)No

---

Definitions:

Regression Discontinuity

Regression discontinuity identifies the causal effects of a policy or factor by looking at two samples that lie on either side of a threshold or cutoff.

Causal Effects

Causal effects refer to the change in an outcome directly attributable to a change in a factor or intervention, established through methods that isolate this relation from other variables.

Threshold

The point at which a particular effect or change occurs, often used in context of quantities or levels.

Intention To Treat

A principle used in clinical trials where all patients including those who drop out or deviate from the protocol are accounted for in the final results.