Question

L.A researcher suspects that college students test anxiety decreases the longer they are in college. After freshmen year a random sample of six students were selected and took the College Test Anxiety Questionnaire (CTAO). Three years later these same six students complete the CTAQ again following their senior year. The data are as follows. Person Freshman Year Senior Year a State the reearch hypothesis, and the null hypothesis b. Using what you know, identify the appropriate statistical test, and perform the necessary calculations. c. Does college student test anxiety decrease the longer they are in college? State your results in APA style.

Answer 1

a)

$H_o: \mu _d = 0$

$H_a: \mu _d > 0$

b)

this is paired t-test

t-Test: Paired Two Sample for Means
	Variable 1	Variable 2
Mean	6.4	3.6
Variance	1.8	2.8
Observations	5	5
Pearson Correlation	0.423163633
Hypothesized Mean Difference	0
df	4
t Stat	3.810317378
P(T<=t) one-tail	0.009467489
t Critical one-tail	2.131846786
P(T<=t) two-tail	0.018934979
t Critical two-tail	2.776445105

this is one-sided test

p-value= 0.00946 <0.05

we reject the null hypothesis

c)

yes,