TABLE 11-8
A hotel chain has identically sized resorts in 5 locations. The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations.
$\begin{array}{cccccc}
\text { ROW } & \text { Caymen } & \text { Pennkamp } & \text { California}& \text { Mayaquez}& \text { Maui } \
1 & 28 & 40 & 21 & 37 & 22 \
2 & 33 & 35 & 21 & 47 & 19 \
3 & 41 & 33 & 27 & 45 & 25
\end{array}$
$$\begin{array}{l}
\text { Analysis of Variance }\
\begin{array} { l r c c c c }
\hline \text { Source } & \mathrm { df } & \text { SS } & \text { MS } & F & p \
\text { Location } & 4 & 963.6 & & 11.47 & 0.001 \
\text { Error } & 10 & 210.0 & & & \
\text { Total } & & & & & \
\hline
\end{array}
\end{array}$$
-Referring to Table 11-8, what should be the decision for the Levene's test for homogeneity of variances at a 5% level of significance?
A) Do not reject the null hypothesis because the p-value is larger than the level of significance.
B) Reject the null hypothesis because the p-value is larger than the level of significance.
C) Reject the null hypothesis because the p-value is smaller than the level of significance.
D) Do not reject the null hypothesis because the p-value is smaller than the level of significance.

Question

TABLE 11-8
A hotel chain has identically sized resorts in 5 locations. The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations.
 $\begin{array}{cccccc}
\text { ROW } & \text { Caymen } & \text { Pennkamp } & \text { California}& \text { Mayaquez}& \text {  Maui } \
1 & 28 & 40 & 21 & 37 & 22 \
2 & 33 & 35 & 21 & 47 & 19 \
3 & 41 & 33 & 27 & 45 & 25
\end{array}$
 $$\begin{array}{l}
\text { Analysis of Variance }\
\begin{array} { l r c c c c } 
\hline \text { Source } & \mathrm { df } & \text { SS } & \text { MS } & F & p \
\text { Location } & 4 & 963.6 & & 11.47 & 0.001 \
\text { Error } & 10 & 210.0 & & & \
 \text { Total } & & & & & \
\hline
\end{array}
\end{array}$$
-Referring to Table 11-8, what should be the decision for the Levene's test for homogeneity of variances at a 5% level of significance?
A) Do not reject the null hypothesis because the p-value is larger than the level of significance.
B) Reject the null hypothesis because the p-value is larger than the level of significance.
C) Reject the null hypothesis because the p-value is smaller than the level of significance.
D) Do not reject the null hypothesis because the p-value is smaller than the level of significance.

Quizplus · Accepted Answer

The decision for Levene's test is based on the p-value. Since the p-value is not provided for Levene's test, we cannot directly make a decision. However, the problem suggests that the p-value for the ANOVA test is 0.001, which is less than 0.05, indicating significant differences in means, not variances. Therefore, without specific p-value for Levene's test, we assume variances are homogeneous, leading to not rejecting the null hypothesis.

TABLE 11-8 a Hotel Chain Has Identically Sized Resorts in 5

TABLE 11-8
a Hotel Chain Has Identically Sized Resorts in 5