11.54 Reaction Times vs. Stimuli Twenty-seven people participated in an experi- ment to compare the effects of five different stimuli on reaction time. The experiment was run using a com- pletely randomized design, and, regardless of the results of the analysis of variance, the experimenters wanted to compare stimuli A and D. The results of the experiment are given here. Use the MINITAB printout to complete the exercise.

a. Conduct an analysis of variance and test for a difference in the mean reaction times due to the five stimuli.

b. Compare stimuli A and D to see if there is a difference in mean reaction times.

Transcribed Image Text:

Stimulus Reaction Time (sec) Total Mean ABCDE 0.8 0.6 0.6 0.5 2.5 0.625 0.7 0.8 0.5 0.5 0.6 0.9 0.7 4.7 0.671 1.2 1.0 0.9 1.2 1.3 0.8 6.4 1.067 1.0 0.9 0.9 1.1 0.7 4.6 0.920 0.6 0.4 0.4 0.7 0.3 2.41 0.480 MINITAB output for Exercise 11.54 One-way ANOVA: Time versus Stimulus Source Stimulus 4 1.2118 0.3030 Total 22 0.5711 0.0260 25 1.7830 0.16118-8 67.978 R-Sq 1.67 0.000 62.144 Individual 95% CIs For Men Based on Pooled Stev Level Moan StDev 0.6250 0.1258 7 0.6714 0.1496 6 1.0667 0.1966 5 0.9200 0.1483 - 0.4500 0.1643 (-- Pooled Stbev 0.1611 0.50 0.75 1.00 1.25