Question

A group of students in a research methods class wanted to understand if living situation (alone or with roommate/s) affects college students’ anxiety levels. They recruited eight PY101 students who were living alone and 8 who had a roommate to take part in their study. (None of the study participants lived together.) To measure anxiety, they gave the Beck Anxiety Inventory to all participants. The scores from the anxiety inventory are listed in the following table.

Alone (A)	Roommates (B)
16	8
19	9
21	12
12	11
10	9
12	4
4	3
6	4
M=12.5	M=7.5
s2 = 35.4	s2 = 11.7
SD = 6.0	SD = 3.4

Identify your Critical Value t_crit?

For the current problem, calculate t_obs. Report answer rounded to one decimal?

Answer 1

Ans:

t -test for independent samples means:

Assume alpha=0.05

Assume population variances are not equal.

df=11

critical t value=tinv(0.05,11)=2.201

Test statistic:

t_obs=(12.5-7.5)/SQRT((6^2/8)+(3.4^2/8))

t_obs=2.1