Question

A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown in the Table.

$\begin{array}{|lll|}\hline \text{Group A}& \text{Group B}& \text{Group C}\\ 101& 151& 101\\ 108& 149& 109\\ 98& 160& 198\\ 107& 112& 186\\ 111& 126& 160\\ \hline\end{array}$

At the $10\%$significance level, are the scores among the different groups different?

Short answer

At$10\%$level we reject the null hypothesis. Therefore the scores are different.

Step-by-step solution

Given Information

Use the below given table of three different groups of target markets for the game.

$\begin{array}{|lll|}\hline \text{Group A}& \text{Group B}& \text{Group C}\\ 101& 151& 101\\ 108& 149& 109\\ 98& 160& 198\\ 107& 112& 186\\ 111& 126& 160\\ \hline\end{array}$

Explanation

Use $Ti-83$calculator. For this, click on START $\to$press $1\to$EDIT, then put the above given weights of different groups data into the list $L1,L2$, and $L3$. The screenshot is given as below:

Now Again press START $\to$arrow over the TESTS $\to$arrow down to ANOVA $\to$Press var then select $1$, press var then select $2$and press var then select $3$to fill the values of $L1,L2$, and $L3$. The screen shot is given as below:

Final Answer

Press ENTER. The screenshot of the obtained output is given as below:

Thus, $p$-value is $0.059$which indicates at $10\%$level of significance null hypothesis will be rejected. So, score among the difference groups are different.