Question

several students were tested for reaction times (in thousandths of a second) using their right and left hands. ( Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) results from five of the students are included. Use a 0.02 significance level to test the claim that there is no difference between the reaction times of the right and left hands.

Hypothesis test:
H0: Md= 0
H1: Md≠ 0

Right Hand
111
136
160
163
163

Left Hand
122
149
176
181
175

What is the test satistic?

Answer 1

Using Excel

data -> data analysis -> t-test paired

t-Test: Paired Two Sample for Means
	Right Hand	Left Hand
Mean	146.6	160.6
Variance	524.3	621.3
Observations	5	5
Pearson Correlation	0.996157613
Hypothesized Mean Difference	0
df	4
t Stat	-10.73750984
P(T<=t) one-tail	0.000213208
t Critical one-tail	2.131846786
P(T<=t) two-tail	0.000426415
t Critical two-tail	2.776445105

Test statistic = -10.7376