The head of the English department wants to determine if the average number of s

Question

The head of the English department wants to determine if the average number of students taking an English course differs depending upon the time of day that the course is being offered. A hypothesis test is conducted using the following data: Using a = .05, is there a significant difference in the mean enrolments of morning, afternoon and evening classes? Yes, there is a significant difference between the means. No, there is no significant difference between the means. No, there is no significant difference between the means. The F- test cannot be used to answer whether or not there or not there is a significant difference between the means. Not enough information to answer this question.

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Since p - value is less than 0.05, reject Ho.

Hence,

Option A is correct.

Column n Mean Std. Dev. Std. Error Morning 5 26.2 0.83666003 0.37416574 Afternoon 5 22 2.9154759 1.3038405 Evening 5 25 1.5811388 0.70710678

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