A researcher wanted to see if students will learn more effectively with a consta
ID: 3379656 • Letter: A
Question
A researcher wanted to see if students will learn more effectively with a constant background sound, as opposed to an unpredictable sound or no sound at all. She randomly divides twenty-four students into three groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10 point multiple choice test over the material.
After conducting her initial ANOVA test, the researcher conducted post-hoc test. Use the results of the ANOVA test and the post-hoc testing to write a complete answer to the researcher’s question. Include in your conclusion: the complete results of the ANOVA including effect size and an analysis of the post-hoc testing including any relevant results (including relevant t-statistics and p-values) to support your conclusion. Determine if constant sound was more effective than random or no sound.
SUMMARY
Groups
Count
Sum
Average
Variance
constant sound
8
60
7.5
1.428571
random sound
8
32
4
2.857143
no sound
8
27
3.375
4.839286
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
79.08333
2
39.54167
13
0.000212
3.4668
Within Groups
63.875
21
3.041667
Total
142.9583
23
SUMMARY
Groups
Count
Sum
Average
Variance
constant sound
8
60
7.5
1.428571
random sound
8
32
4
2.857143
no sound
8
27
3.375
4.839286
Explanation / Answer
She can conclude that her hypothesis may be supported. The means are as she predicted, in that the constant music group has the highest score. However, the signficant F only indicates that at least two means are signficantly different from one another, but she can't know which specific mean pairs significantly differ until she conducts a post-hoc analysis
Since p=0.000212<0.05, we reject H0 of equal means. There is sufficient evidence that the mean scores for the three groups are significantly different
with the post-hoc we can see that the constant sound is the different between the others variables
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