Question

A researcher wants to test the effect of music volume on short term memory. Each subject is given a short-term memory test while music is playing in the background -- there is one group that hears no music ( this is the control group) -- the subjects are volunteers who are randomly assigned one of the three conditions.

The IV is "music volume" (you can call it "MV") - there are 3 conditions:

1: Loud
2: Soft
3: no music (this is the control condition)

The DV is "scores on a memory test" (higher scores indicating better memory)

The scores on the test are as follows:

For group 1 (loud music):

3
4
5
5
3
4
5
3
3

For group 2 (soft music)

8
6
5
6
7
3
6
5
4

for group 3 (no music):

7
4
6
6
7
3
8
6
5

Show all work and complete the five steps for ANOVA. Don't forget the important step 5 in which you explain what your results mean. In addition, If (and only if) Ho is rejected, conduct and BRIEFLY interpret Fisher's Protected t-Tests.

**PLEASE WRITE VERBAL CONCLUSION AND STATISTICAL CONCLUSION

Answer 1

1. Hypothesis

Null Hypothesis: The mean score for all the three music groups are the same.

Alternative Hypothesis: At least one music group has a significant mean score.

2.

One-way ANOVA: Score versus Group

Source	DF	SS	MS	F	P
Group	2	19.19	9.59	5.15	0.014
Error	24	44.67	1.86
Total	26	63.85

S = 1.364 R-Sq = 30.05% R-Sq(adj) = 24.22%

Test Statistic, F(obs)=5.15

3. P-value=0.014

4) Reject the null hypothesis at the 0.05 significance level.

5. Conclusion: At least one group has a significant mean scores on a memory test at the 0.05 significance level.