Question

4)  A researcher is interested in the effects of  room color (yellow, blue) and room temperature (20, 24, 28 degrees Celsius) on happiness. A total of 120 university students participated in this study, with 20 students randomly assigned to each condition. After sitting for 30  mins. in a room that was painted either yellow or blue, and that was either 20, 24, or 28 degrees, students were asked to rate how happy they felt on a scale of 1 to 15, where 15 represented the most happiness.

The results are as follows:

temperature           room color           happiness

20                         yellow                  12

24                         yellow                  10

28                         yellow                    6

20                          blue                       4

24                           blue                       4

28                          blue                       4

4A)  Place the data into the cells of the matrix and determine the row and column means (a hand-drawn matrix is fine).

Answer 1

For single students

	yellow	blue
20	12	4
24	10	4
28	6	4

For 120 students

	yellow	blue	Mean
20	12	4	8
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
	12	4
24	10	4	7
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
	10	4
28	6	4	5
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
	6	4
MEAN	9.33333	4

Here, a total of 120 university students participated in this study, with 20 students randomly assigned to each condition. There are 6 conditions in all.

Column means:

Means for color: yellow/blue.

Row means: