The head of the English department wants to determine if the average number of students an English course differs depending upon the time of day that the course is being offered.
$\begin{array}{ccc}
\hline \text { Morning } & \text { Afternoon } & \text { Evening } \
\hline 25 & 25 & 27 \
26 & 24 & 26 \
27 & 18 & 24 \
26 & 20 & 23 \
27 & 23 & 25 \
\hline
\end{array}$

Is there a significant difference between the mean attendance for the classes given for $\alpha = 0.05$ ?

A) The $F$-test cannot be used to answer whether or not there is a significant difference between the means.
B) No, there is no significant difference between the means.
C) Yes, there is a significant difference between the means.

Question

The head of the English department wants to determine if the average number of students an English course differs depending upon the time of day that the course is being offered.
$\begin{array}{ccc}
\hline \text { Morning } & \text { Afternoon } & \text { Evening } \
\hline 25 & 25 & 27 \
26 & 24 & 26 \
27 & 18 & 24 \
26 & 20 & 23 \
27 & 23 & 25 \
\hline
\end{array}$

Is there a significant difference between the mean attendance for the classes given for $\alpha = 0.05$ ?

A) The $F$-test cannot be used to answer whether or not there is a significant difference between the means.
B) No, there is no significant difference between the means.
C) Yes, there is a significant difference between the means.

Quizplus · Accepted Answer

To determine if there is a significant difference between the mean attendances of English courses offered at different times of the day (morning, afternoon, evening), an ANOVA (Analysis of Variance) test, which is based on the F-statistic, is appropriate. This test compares the means across multiple groups. Given the setup of the problem, where we have three independent samples (morning, afternoon, evening) and are interested in comparing their means, ANOVA is the correct statistical test to use. The question implies the use of ANOVA by mentioning the interest in the difference in means across different times of the day, which is exactly what ANOVA is designed to test for.

The Head of the English Department Wants to Determine If