Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline to use. The four grades are: below regular, regular, premium, and super premium. The test car made three trial runs on the test track using each of the four grades. Assuming any grade can be used at the 0.05 level, what is the critical value of F using0.05 level of significance?
A) 1.96
B) 4.07
C) 2.33
D) 12.00

Question

Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline to use. The four grades are: below regular, regular, premium, and super premium. The test car made three trial runs on the test track using each of the four grades. Assuming any grade can be used at the 0.05 level, what is the critical value of F using0.05 level of significance? 
A) 1.96 
B) 4.07 
C) 2.33 
D) 12.00

Quizplus · Accepted Answer

In this scenario, we need to use the F-test to compare the means of the four grades of gasoline. Since there are three trial runs for each grade, we can use a one-way ANOVA. With a significance level of 0.05 and degrees of freedom (3, 12), the critical value of F is 4.07. This means that if our calculated F-value is greater than 4.07, we reject the null hypothesis and conclude that there is a significant difference between the means of the four grades of gasoline. Therefore, the best choice is B.

Suppose That an Automobile Manufacturer Designed a Radically New Lightweight