Reaction Time (ms)

Cue Colour Green Red Bicolour (red only)
1 680 650 460
2 480 470 310
3 350 300 270
4 300 470 300
5 320 290 610
6 260 290 300
7 290 220 340
8 260 280 230
9 320 250 260
10 440 330
11 270 230
12 270 220
13 250 280
14 250 260
15 250 300
16 230 240
17 260 240
18 280 30
19 450 380
20 360 190
MEAN 328.5 296 342.2222222
SD 109.797661 126.1327621 119.7682948
N 20 20 9
SEM 24.5515033 28.20414303 39.92276494

1a. How does the subject's mean reaction time for the green visual cues copare to the mean reaction time for the red visual cues?

b. How was the subject's reaction time affected when asked to react to only one specific colour cue in sets that contain cues of multiple colours?

c. What was the relative magnitude of the variability in response times? (Percent difference on how much SEM is different from the others)

MEAN: 328.5 (green), 296 (red), 342.22 (bicolour)

a. To compare the subject's mean reaction time for green visual cues to the mean reaction time for red visual cues, we can simply look at the provided data. From the given table, we can see that the mean reaction time for green cues is 328.5 ms, while the mean reaction time for red cues is 296 ms. Therefore, the subject's mean reaction time for green cues is longer than the mean reaction time for red cues.

b. To determine how the subject's reaction time was affected when asked to react to only one specific color cue in sets that contain cues of multiple colors, we can compare the mean reaction times for bicolour (red only) cues and the mean reaction times for green and red cues separately. From the table, we can see that the mean reaction time for bicolour cues is 342.22 ms, which is higher than both the mean reaction time for green cues (328.5 ms) and the mean reaction time for red cues (296 ms). This suggests that when the subject is asked to react to only one specific color cue in sets that contain cues of multiple colors, their reaction time tends to be higher compared to when they react to green or red cues separately.

c. To determine the relative magnitude of the variability in response times, we can compare the standard error of the mean (SEM) values provided for each cue color. From the table, we can see that the SEM for green cues is 24.55, the SEM for red cues is 28.20, and the SEM for bicolour cues is 39.92. To calculate the percent difference between SEM values, we can use the formula:

Percent Difference = ((|SEM1 - SEM2|) / ((SEM1 + SEM2) / 2)) * 100

Using this formula, we can calculate the following percent differences:

- Percent Difference between SEM for green cues and SEM for red cues:
((|24.55 - 28.20|) / ((24.55 + 28.20) / 2)) * 100 = 13.06%

- Percent Difference between SEM for green cues and SEM for bicolour cues:
((|24.55 - 39.92|) / ((24.55 + 39.92) / 2)) * 100 = 28.44%

- Percent Difference between SEM for red cues and SEM for bicolour cues:
((|28.20 - 39.92|) / ((28.20 + 39.92) / 2)) * 100 = 25.14%

Therefore, the percent differences in SEM values indicate that the relative magnitude of variability in response times is highest for bicolour cues, followed by red cues, and then green cues.