1) 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 mean happiness scores 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 1A) Place the data into the cells of the matrix and determine the row and column means (a handdrawn matrix is fine). 1B) Draw a fully labeled line graph of the results (a hand-drawn graph is fine). 1C) List each significant effect and after each one, describe what the effect is telling us about how temperature and color affected happiness. (For the purpose of this exercise, assume that a difference of “1” between any of the row or column means is a significant difference. Also, if the data or graph seems to indicate an interaction effect, consider it as being a significant interaction.) 1D) If any of the above effects should take precedence, indicate which effect(s). (If they are of equal importance, simply indicate so.) 1 E) What is the specific name given to this type of design? 1F) If you were to conduct a study on the effects of temperature and room color on happiness AND on anxiety, how would you present these findings in a line-graph format? You can either draw a diagram or provide a short written description.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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1) 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 mean happiness scores 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

1A) Place the data into the cells of the matrix and determine the row and column means (a handdrawn matrix is fine).

1B) Draw a fully labeled line graph of the results (a hand-drawn graph is fine).

1C) List each significant effect and after each one, describe what the effect is telling us about how temperature and color affected happiness. (For the purpose of this exercise, assume that a difference of “1” between any of the row or column means is a significant difference. Also, if the data or graph seems to indicate an interaction effect, consider it as being a significant interaction.)

1D) If any of the above effects should take precedence, indicate which effect(s). (If they are of equal importance, simply indicate so.) 1

E) What is the specific name given to this type of design?

1F) If you were to conduct a study on the effects of temperature and room color on happiness AND on anxiety, how would you present these findings in a line-graph format? You can either draw a diagram or provide a short written description. 

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