A 2009 study showed that handling money reduces the perception of pain. Two groups of participants were asked to participate in a manual dexterity study. Half of the participants were given a stack of money to count and the other half were given a stack of blank pieces of paper to count. After the counting task, the participants were asked to dip their hands into bowls of very hot water (122 degrees Fahrenheit) and rate how uncomfortable it was. The following data show ratings of pain similar to the results obtained in the study. Counting Money Counting Paper 7 9 8 11 10 13 6 10 8 11 5 9 7 15 12 14 5 10 ?1 = 7.56 ?2 = 11.33 SS = 42.22 SS = 38 a. Based on the sample data, does the treatment have a significant effect at  = .01? (Remember, all 4 steps here.) b. Calculate Cohen’s d to estimate the effect size and determine if it is small, medium or large.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A 2009 study showed that handling money reduces the perception of pain. Two groups of
participants were asked to participate in a manual dexterity study. Half of the participants
were given a stack of money to count and the other half were given a stack of blank
pieces of paper to count. After the counting task, the participants were asked to dip their
hands into bowls of very hot water (122 degrees Fahrenheit) and rate how uncomfortable
it was. The following data show ratings of pain similar to the results obtained in the
study.
Counting Money Counting Paper
7 9
8 11
10 13
6 10
8 11
5 9
7 15
12 14
5 10
?1 = 7.56 ?2 = 11.33
SS = 42.22 SS = 38
a. Based on the sample data, does the treatment have a significant effect at  = .01?
(Remember, all 4 steps here.)
b. Calculate Cohen’s d to estimate the effect size and determine if it is small, medium or
large.

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