The goal of this experiment was to determine whether there is a difference between the happiness obtained from “material” versus “experiential” purchases (following the study of Van Boven & Gilovich, 2003). For our purposes, we’ll treat the “material” group as the control group, and ask whether the “experiential” group differed in their happiness rating.
Again, the population mean was µ = 6.16 happiness, with standard deviation σ = 1.71. We collected a sample of n = 34 students in the “experiential” condition and found that the sample mean M = 7.45.
A. What is the standard error of the mean for this experiment? SEM =
If we use a two-tailed test, with α = 0.05, then what are the critical boundaries for finding a significant effect of material versus experiential happiness? (Hint: this depends on the criterion chosen by the researchers.)
B. In order for the effect to be significant, Z must be greater than ["-1.96", "-1.65", "1.65", "1.96"] or less than ["-1.65", "1.96", "-1.96", "1.65"] .
What are the means scores at these critical boundaries? That is, what are the happiness scores on the border of being significant?(Hint: you must use both the Z-scores you found above and the standard error you computed just above.)
C. The mean happiness score must be greater than [ Select ] ["6.64", "9.51", "6.73", "6.60"] or less than [ Select ] ["5.59", "2.81", "5.68", "-5.59"] .
D. Based on your responses just above, was there a significant effect? That is, do “experiential” purchases lead to significantly more or less happiness than “material” purchases?
E. What is Cohen's d effect size?
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