TABLE 11-6
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.

-Referring to Table 11-6, what should be the conclusion for the Levene's test for homogeneity of variances at a 5% level of significance?
A) There is not sufficient evidence that the variances are all the same.
B) There is sufficient evidence that the variances are all the same.
C) There is not sufficient evidence that the variances are not all the same.
D) There is sufficient evidence that the variances are not all the same.

Question

TABLE 11-6
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
 
-Referring to Table 11-6, what should be the conclusion for the Levene's test for homogeneity of variances at a 5% level of significance?
A) There is not sufficient evidence that the variances are all the same. 
B) There is sufficient evidence that the variances are all the same. 
C) There is not sufficient evidence that the variances are not all the same. 
D) There is sufficient evidence that the variances are not all the same.

Quizplus · Accepted Answer

Levene's test checks if variances are equal across groups. If the p-value is greater than 0.05, we fail to reject the null hypothesis, indicating insufficient evidence that variances are not all the same.

TABLE 11-6 As Part of an Evaluation Program, a Sporting Goods Retailer