In an experiment conducted online at the University of Mississippi, study participants are asked to react to a stimulus. In one experiment, the participant must press a key on seeing a blue screen and the reaction time in seconds) to press the key is
measured. The same person is then asked to press a key on seeing a red screen, again with reaction time measured. The
results for six randomly sampled study participates are as follows:
1
2
3
4
5
6
Participant
Blue (X)
Red (Y)
0.599
0.501
0.835
0.301
0.685
0.460
0.408
0.407
0.542
0.402
0.456
0.533
Is there sufficient evidence
conclude that people react faster to a red stimulus? Use a = 0.1.
a) For d = X - Y , what does it mean ford to be positive? (Did they react faster to the red or blue stimuli?)
b) What is the null and alternative hypothesis?
c) What is the test statistic and p-value?
d) Should we reject the null hypothesis?