Question

20. A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. Show all work to receive credit. Include a table of your results.

Group A	Group B	Group C
101	151	101
108	149	109
98	160	198
107	112	186
111	126	160

What is the df(Between)?
What is the df(Within)?
What are the SS_between and MS_between?
What are the SS_within and MS_within?
What is the F Statistic?
At the 5% significance level, are the scores among the different groups different? Use APA format to answer this question (including IV and DV).

Answer 1

By using excel we can solve this question easily.

First, enter all data into excel.

Click on Data -------> Data Analysis--------> Anova: Single-Factor-----> Input Data -------> Select all data -------> Output Range : Select any empty cell --------> ok

We get

The df(Between) = 2
The df(Within) = 12
The SS_between = 5700.4

MS_{between = 2850.2}
SS_within = 9474

MS_within = 789.5
The F Statistic = 3.6101

Claim:  The scores among the different groups different.

The null and alternative hypothesis is:

H1: At least one of the mean is not equal.

Level of significance = 0.05

Test statistic F = 3.6101

Critical value = 3.8853

Test statistic F < Critical value we fail to reject null hypothesis.

Conclusion: The scores among the different groups are the same.