Question

There are 3 SPSS outputs in this homework assignment. The questions for each output are listed below. Please type your answers into this word document and submit it as an attachment in the assignment tab.

Q1. Researchers were interested in determining whether background music helped or hindered students’ performance on a math test. Students were randomly assigned to 1 of 3 groups: 1) no music; 2) music only; and 3) music with lyrics. Students were then given a math exam, scores which could range from 0 to 100.

1. State the null and alternate hypotheses.
2. What is the total sample size
3. Identify the independent and dependent variables
4. What is the test statistic value
5. What is the p value
6. What is your conclusion (assume α = .05). Phrase your conclusion based on your hypotheses.
7. Do we need a post hoc analysis Why or why not

	N	Mean	Std. Deviation	Std. Error	95% Confidence Interval for Mean
					Lower Bound	Upper Bound
No music	250	77.59	13.055	.826	75.96	79.21
Music only	250	78.10	13.357	.845	76.44	79.77
Music and lyrics	250	78.97	13.263	.839	77.32	80.62
Total	750	78.22	13.221	.483	77.27	79.17

ANOVA
minutes
	Sum of Squares	df	Mean Square	F	Sig.
Between Groups	244.595	2	122.297	.699	.497
Within Groups	130668.664	747	174.925
Total	130913.259	749

Answer 1

(a)

H0: Null Hypothesis: (Background music has no effect on students’ performance on a math test)

HA: Alternative Hypothesis: (At least one mean is different from the other 2 means) ( Background music helped or hindered students’ performance on a math test)

(b)

the total sample size = 750

(c)

Independent variable: Background music

Dependent variable: students’ performance on a math test

(d)

test statistic value = F = 0.699

(e)

F statistic = 0.699

Degrees of Freedom = 2, 747

By Technology, p - value = 0.4974

(f)

Since p - value = 0.4974 is greater than = 0.05, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data do not support the claim that background music helped or hindered students’ performance on a math test.

(g)

We do not need a post hoc analysis because the conclusion of ANOVA is that there is no significant difference between the 3 means.