A company's customer service department wants to compare the average service times at three different service locations. It wants to conduct a hypothesis test to determine if all three means are the same or not, at the 0.05 level of significance. If n =10 observations are taken at each of the three restaurants, the critical value is F = 3.354.

Question

Quizplus · Accepted Answer

The scenario described involves comparing the means of three groups to see if there is a significant difference among them, which is appropriately analyzed using an ANOVA (Analysis of Variance) test. The F statistic mentioned is a critical value from the F-distribution, which is used in ANOVA to determine if the observed differences in means are statistically significant. The value of F = 3.354 would be specific to the degrees of freedom associated with the test (which depend on the number of groups and the number of observations) and the chosen level of significance (0.05 in this case).

A Company's Customer Service Department Wants to Compare the Average