Question

Researchers were interested in determining whether awarding extra credit for volunteering would increase the number of hours students participated community service. The current average is 2.5 hours per semester. Using the information below, answer the following questions.

Using the data below, answer the following questions.

5. What is the null and alternate hypotheses?
6. Indicate the sample size.
7. Indicate the sample mean.
8. Indicate the sample standard deviation.
9. Indicate the Mean difference.
10. What is the t value and degrees of freedom?
11. What is the p value?
12. Based on the information, what is your conclusion based on the original hypotheses?

One-Sample Statistics
	N	Mean	Std. Deviation	Std. Error Mean
Hours	500	4.13	2.528	.113

One-Sample Test
	Test Value = 3
	t	df	Sig. (2-tailed)	Mean Difference	95% Confidence Interval of the Difference
					Lower	Upper
Hours	10.029	499	.000	1.134	.91	1.36

Answer 1

What is the null and alternate hypotheses?

Ho:mu=2.5

Ha:mu>2.5

Indicate the sample size.

sample size =n=500

Indicate the sample mean.

sample mean=xbar=4.13

Indicate the sample standard deviation.

sample standard deviation=s=2.528

Indicate the Mean difference.

mean difference=1.134

What is the t value and degrees of freedom?

t=10.029,degree of freedom=499

What is the p value?

p=0.000

Based on the information, what is your conclusion based on the original hypotheses?

p<0.05

Reject Null hypothesis

accept alternative hypothesis

Conclusion:

There is suffcient evidence at 5% level of significance to conclude that extra credit for volunteering would increase the number of hours students participated community service. T