   Chapter 10, Problem 14P Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912

Solutions

Chapter
Section Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912
Textbook Problem

In the Chapter Preview we presented a study showing that handling money reduces the perception pain (Thou, Vohs, & Baumeister, 2009). In the experiment, a group of college students was told that they were participating in a manual dexterity study. Half of the students were given a stack of money to count and the other half got a stack of blank pieces of paper. After the counting task, the participants were asked to dip their hands into bowls of very hot water (122°F) 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 a. Is there a significant difference in reported pain between the two conditions? Use a two-tailed test with α = .01 . b. Compute Cohen’s d to estimate the size of the treatment effect.

To determine

We need to find there is any significant difference in the two populations or not also find the Cohen`s d effect size measure.

Explanation

We have provided with two samples with along with summary statistic of each sample. For the significance difference of the two sample mean will follow two sample t-test on the basis of the sample will construct critical point. Then will calculate Cohen's statistic that will give us the effect size measure. Then will conclude the measures will imply what.

Given:

We have provided two samples with summary statistic

For first sample,

n1=9M1=7.56S21=5.28

For second sample,

n2=9M2=11.3S22=4.75

Formula Used:

For one sample of size n, we have below formulas

Mean= x¯ = 1ni=1nxi

SS= i=1n(xix¯)2

Variance= 1n1i=1n(xix¯)2

If there are two samples of sizes n1and n2 we have the following formula for pooled SD,

Sp=Pooled Variance

SP2=(n11)×s12+(n21)×s22(n1+n22)

S12=sample variance of first sample

S22=sample variance of second sample

Denote,

Se=standard error of the mean,

Se=Sp1n1+1n2

Calculation:

a) Here will proceed by the steps as,

t(10.05)/2,n1+n22=t0

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