A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers.  For a week prior to training, each participant records the number of headaches suffered.  Participants then receive relaxation training and for the week following training the number of headaches is again measured.  The data are as follows:                   Before      After                         6            4                         5            1                         3            3                         3            1                         6            2                         2            1                         4            3                         4            2   A. Compute the mean and variance for the sample of difference scores.             MD = _____________________________             SS = ______________________________             s² = _______________________________     B. Do the results indicate a significant difference? Use a two-tailed test with α =  .05                     SMD = _____________________________             tcritical =     __________________________             tcalculated =    __________________________                  Decision = _________________________             C. Compute Cohen’s d to measure the size of the effect.             Cohen’s d = ________________________

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers.  For a week prior to training, each participant records the number of headaches suffered.  Participants then receive relaxation training and for the week following training the number of headaches is again measured.  The data are as follows:

                  Before      After

                        6            4

                        5            1

                        3            3

                        3            1

                        6            2

                        2            1

                        4            3

                        4            2

 

A. Compute the mean and variance for the sample of difference scores.

 

          MD = _____________________________

 

          SS = ______________________________

 

          s² = _______________________________

 

 

B. Do the results indicate a significant difference? Use a two-tailed test with α =  .05

         

          SMD = _____________________________

 

          tcritical =     __________________________

 

          tcalculated =    __________________________

 

               Decision = _________________________

 

         

C. Compute Cohen’s d to measure the size of the effect.

 

          Cohen’s d = ________________________

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