Question

An experiment was run to compare the effects of auditory and visual cues on speed of the response of a human subject. The variables for this experiment were type of stimuli – auditory or visual, and elapsed time between the warning that a stimuli was coming and the stimulus – 5, 10, or 15 sec. This gave a total of 6 treatment combinations, which can be coded as

1=auditory, 5 sec	4=visual, 5 sec
2=auditory, 10 sec	5=visual, 10 sec
3=auditory, 15 sec	6=visual, 15 sec

The results of the study are given in the table below. The response is in seconds. The experimenter decides to use $\alpha$ = 0.10

Treatment Number
1	2	3	4	5	6
0.204	0.167	0.202	0.257	0.283	0.256
0.17	0.182	0.198	0.279	0.235	0.281
0.181	0.187	0.236	0.269	0.260	0.258

1. Do a preliminary analysis and draw conclusions
2. Give the null and alternative hypotheses for this case
3. Test the hypothesis from part b
4. Give the real-world results

Answer 1

Answe91: 2. Below is the bouplot of the reaction times for different treatements. The reaction times for treatment 1 and 2 are lower and the reaction times for treatments 5 and 6 are high. 0.287 0.26 0.22 0.20 0.187 treatment 1 2 3 4 5 6 R code to generate the plot. >treatments <-c(rep (",", 3), rep ("2", 3), repl"}", 3), rep (473), rep ("5" 3), rep ("6", 3)). > respons e <c(0.26 4,0.170,0.181,0.167,0.182, 0.187,0.202, 0.198,0.236,0-957,0.279,0.269, 0.283, 0.235,0.260, 0.281,0.258) >expt date trame (response, treatments) > plot (response v treatments, data -exp),