# In order to find the best meth

1. In order to find the best method to teach statistics, Dr.Nelson used strictly power point slides, white board with blackmarkers, and a white board with color markers for his threedifferent classes. His main objective was to compare exam scores inthe three different classes. The results were as follows:
 Class Exam Score Class Exam Score Class Exam Score 1 87 2 87 3 89 1 86 2 85 3 91 1 76 2 99 3 96 1 56 2 85 3 87 1 78 2 79 3 89 1 98 2 81 3 90 1 77 2 82 3 89 1 66 2 78 3 96 1 75 2 85 3 96 1 67 2 91 3 93
1. State the null and research hypothesis.
1. Calculate the F value by hand using a source of thevariance table.

1. What is the interpretation of the critical value compared tothe observed value at .05 level of significance?
2. What is the conclusion for α = .05? Write up the results atp = .05 in APA format using the SSPS output below:
 (I). Group (J) Group Mean Difference Significance Different? PowerP’s Black Markers -8.60 .071 PowerP’s Color Markers -15.00 .001 Black Markers Color Markers -6.4 .257

1. What is the value of ω2 & ε2and what do both the effect sizes tell us?

To test the null hypothesis

ie The three teaching methods yields the same score or there is nodifference in the teaching methods

against the alternative that atleast one method differ from theothers

An ANOVA test has been conducted to test the above hypothesisand the table is given below

F value is calculated using the formula =MS between/MSwithin=566.533/64.385=8.799

The pvalue tells us to reject the null hypothesis at 5%significance level . since p value <0.05

Also the F value > F critical value which again directs us toreject the null hypothesis

(I). Group

(J) Group

Mean Difference

Significance

 Different?

PowerP’s

Black Markers

-8.60

.071

NOT Different

PowerP’s

Color Markers

-15.0

.001

Different

Black Markers

Color Markers

-6.4

.257

NOT Different

power point and color markers are statistically significant at5% significance level.

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