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.
$$\begin{array} { c c c c c }
\hline \text { Trial } & \text { Barth } & \text { Tornado } & \text { Reiser } & \text { Shaw } \
\hline 1 & 43 & 37 & 41 & 43 \
2 & 46 & 38 & 45 & 45 \
3 & 43 & 39 & 42 & 46
\end{array}$$
-Referring to Table 11-6, what is the null hypothesis for Levene's test for homogeneity of variances?
A) H0 : MA = MB = MC = MD
B) $ H_{0}: \sigma_{A}^{2}=\sigma_{B}^{2}=\sigma_{C}^{2}=\sigma_{D}^{2} $

C) $ H_{0}: \pi_{A}=\pi_{B}=\pi_{C}=\pi_{D} $

D)$ H_{0}: \mu_{A}=\mu_{B}=\mu_{C}=\mu_{D} $

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.
 $$\begin{array} { c c c c c } 
\hline \text { Trial } & \text { Barth } & \text { Tornado } & \text { Reiser } & \text { Shaw } \
\hline 1 & 43 & 37 & 41 & 43 \
2 & 46 & 38 & 45 & 45 \
3 & 43 & 39 & 42 & 46
\end{array}$$
-Referring to Table 11-6, what is the null hypothesis for Levene's test for homogeneity of variances?
A) H0 : MA = MB = MC = MD
B) $ H_{0}: \sigma_{A}^{2}=\sigma_{B}^{2}=\sigma_{C}^{2}=\sigma_{D}^{2} $

C) $ H_{0}: \pi_{A}=\pi_{B}=\pi_{C}=\pi_{D} $

D)$ H_{0}: \mu_{A}=\mu_{B}=\mu_{C}=\mu_{D} $

Quizplus · Accepted Answer

Levene's test is used to assess the equality of variances for a variable calculated for two or more groups. The null hypothesis for Levene's test is that the variances are equal across the groups.

TABLE 11-6 as Part of an Evaluation Program, a Sporting

TABLE 11-6
as Part of an Evaluation Program, a Sporting