Question

2. A business school curriculum committee is evaluating three formats for lab sections to accompany a traditional class. A standard examination generated the following average scores for some sample classes.

                                                                 Lab Method

                               Lecture                     Computer                   Mixed

                                    78                                77                                83

                                    85                                86                                91

                                    64                                71                                75                   

                                    77                                75                                78

                                    81                                80                                82

                                    75                                77                                80

test to see if there is a difference in the average scores across the different methods. Use alpha = 0.05.

Answer 1

GIVEN:

A business school curriculum committee is evaluating three formats for lab sections to accompany a traditional class. The data displays the average scores for some sample classes of three formats for lab sections.

Since the problem is to test whether there is a difference in the average scores across the three different methods. We use ONE WAY ANOVA to solve this problem.

I have used R code for one way ANOVA.

HYPOTHESIS:

The hypothesis is given by:

The average scores for three different formats for lab sections to accompany a traditional class are the same.

The average scores for at least two different formats for lab sections to accompany a traditional class differs.

ONE WAY ANOVA R OUTPUT:

LEVEL OF SIGNIFICANCE:

CONCLUSION:

From the above output, since the p-value is greater than , we fail to reject null hypothesis at % level and conclude that the average scores for three different formats for lab sections to accompany a traditional class are the same. In other words, there is no significant difference in average scores for three different formats for lab sections to accompany a traditional class.