To compare the tastiness of the burgers from Burger King and Checkers, you have

Question

To compare the tastiness of the burgers from Burger King and Checkers, you have 30 consumers and asked each of them to eat one burger from each store. After they finished both burgers, you asked them to rate the tastiness of both burgers on a scale of 1 - 100. In other words, one consumer will give two ratings, one for Burger King, and one for Checkers. What statistical test should you conduct if you want to know whether the mean scores of Burger King and Checkers are the same or not ? Two-sample z test Two-sample t test Paired t-test Chi-square test for one population variance Chi-square test for the equality of population proportions for > = 3 populations Chi-square test for the independence of two categorical variables F test for two population variances F test for the equality of population means for > = 3 populations The following is the output of the test for the null hypothesis: mu_burgerking = mu_checkers, where the mu is the mean monthly sales in thousands. Given the output, what can you conclude? Use alpha = .05. The monthly sales for Burger King and Checkers ate not significantly different The monthly sales for Burger King and Checkers art significantly different The monthly sales for Burger King is significantly more than that for Checkers The monthly sales for Burger King is significantly less than that for Checkers The following is the output of the test for the null hypothesis: mu_burgerking = mu_checkers = mu_popeyes, where the mu is the mean monthly sales in thousands. Given the output, what can you conclude? Use alpha = .05. The monthly sales for all three stares are all the same The monthly sales for all three stares are all different The monthly sales are all the same the three stares The following is the output of the test for the null hypothesis: sigma squared_burgerking = sigma squared_checkers, where the sigma squared is the variance of monthly sales

Explanation / Answer

1) Paired t test for the difference of their mean

2) I can't see the picture properly but let me explain you the basics to monitor such kind of questions. If the test we conduct on their mean difference and p value is less than 0.05 then we can reject the null hypothesis that both are not significantly different.

3) Since corresponding p value is much much greater than 0.05 so we can comfortably reject null hypothesis of same means. Data confirms that sells are very significantly different.

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