"Using Technology to Perform a Two-Way ANOVA Test In Exercises...

Question

"Using Technology to Perform a Two-Way ANOVA Test In Exercises 15–18, use technology and the block design to perform a two-way ANOVA test. Use α=0.10. Interpret the results. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal.

[APPLET] Vehicle Sales The owner of a car dealership wants to determine whether the gender of a salesperson and the type of vehicle sold affect the number of vehicles sold in a month. The block design shows the numbers of vehicles, listed by type, sold in a month by a sample of eight salespeople.

Accepted Answer

Hello. In this video, we are told that a large retail chain is analyzing the daily sales revenue based on two factors store display type and the music volume. Now we are told that the 2-st displays is going to be end cap versus aisle. We are told that the music volume is going to be low versus high, and we are working with a significance level of 0.05. Now, based on the Enova test results below, which of the following is the correct conclusion? So, in order to interpret the significance of the interactions, the display types, and the music types, what we want to do is we want to go ahead and compare their corresponding P values to the given significance level of 0.05. Starting with the interaction, let's go ahead and compare that p value of the row of interaction to the significance level. Now, the p value for interactions is going to be 0.0098, but comparing that to a significance level of 0.05 tells us that the p value is going to be greater. So what this means is that there appears to be a significant interaction effect between the stored display and the music volume. Now we're going to repeat this process, but we are going to repeat it for the remaining display rows and the music columns. So if we were, if we compare the P value to the displays, we have a P value of 0.0045, and when comparing that to the significance level given to us, this is less than 0.05. So what this tells us is that the store factor or the store daily revenue is affected by the displays that are placed in the store, and the same can be said about the music volume. The P value for music is 0.0364, which is less than 0.05. So there is a significant diff a significant value or significant impact of the music volume on daily revenue. So what does this mean about the interpretation of the results? Well, what this means is that option B is going to be correct. Since there is a significant interaction between display and music, the main effects of display or music should not be interpreted separately. So that is going to be the solution to this problem. So I hope this video helps you in understanding how to approach this problem, and we will go ahead and see you all in the next video.

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