Question

4. Comparison of the means of two populations

The research hypothesis (H₁): College students who live in dormitories tend to be more involved in campus life than students who commute to campus. Please test the hypothesis based on the information below. Make sure that you complete step 2 through step 6:

                        Sample 1                                 Sample 2

                        (Residential)                            (Commuter)

           

                        X₁ = 12.4                                 X₂ = 10.2

                        S₁ = 2.0                                   S₂ = 1.9

                        N₁ = 158                                          N₂ = 173

Answer 1

Let µ1 be Residental.

Let µ2 be Commuter.

The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 > µ2

Residental	Commuter
12.4	10.2	mean
2	1.9	std. dev.
158	173	n
	329	df
	2.2000	difference (Residental - Commuter)
	3.7961	pooled variance
	1.9484	pooled std. dev.
	0.2144	standard error of difference
	0	hypothesized difference
	10.261	t
	6.45E-22	p-value (one-tailed, upper)

The p-value is 0.0000.

Since the p-value (0.0000) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that college students who live in dormitories tend to be more involved in campus life than students who commute to campus.