TABLE 10-18
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of four brands of bicycles. She took three of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below

-Referring to Table 10-18, the null hypothesis for Levene's test for homogeneity of variances is
A) H₀: μA = μB = μC = μD.
B) H₀: MA = MB = MC = MD.
C) H₀: σA² = σB² = σC² = σD².
D) H₀: πA = πB = πC = πD.

Question

TABLE 10-18
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of four brands of bicycles. She took three of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below
 
-Referring to Table 10-18, the null hypothesis for Levene's test for homogeneity of variances is
A) H₀: μA = μB = μC = μD. 
B) H₀: MA = MB = MC = MD. 
C) H₀: σA² = σB² = σC² = σD². 
D) H₀: πA = πB = πC = πD.

Quizplus · Accepted Answer

Levene's test for homogeneity of variances tests the null hypothesis that the variances of the groups being compared are equal. The symbol for variance is σ², so the null hypothesis for Levene's test is H₀: σA² = σB² = σC² = σD². Therefore, the correct answer is C.

TABLE 10-18 As Part of an Evaluation Program, a Sporting Goods Retailer