A researcher is testing the effect of a new cold and flu medication on mental alertness.  A sample of n = 9 college students is obtained and each student is given the normal dose of the medicine.  Thirty minutes later, each student’s performance is measured on a video game that requires careful attention and quick decision making.  The scores for the nine students are as follows:  6, 8, 10, 6, 7, 13, 5, 5, 3.      A. Assuming that scores for students in the regular population average μ = 10, are the      data sufficient to conclude that the medication has a significant effect on mental performance?  Test at the .05 level of significance.   M =    _______________7____________   SS =   _____72______________________   s²  =    ___________________________   SM =    __________1________________________________             tcritical =     ________________________             tcalculated =    ____________________________________             Decision = _______________________             B. Compute r2, the percentage of variance explained by the treatment effect.   r2   =          ________________________   C. Write a sentence demonstrating how the outcome of the hypothesis test and the measure      of effect size would be presented in a research report.

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 researcher is testing the effect of a new cold and flu medication on mental alertness.  A sample of n = 9 college students is obtained and each student is given the normal dose of the medicine.  Thirty minutes later, each student’s performance is measured on a video game that requires careful attention and quick decision making.  The scores for the nine students are as follows:  6, 8, 10, 6, 7, 13, 5, 5, 3.     

A. Assuming that scores for students in the regular population average μ = 10, are the

     data sufficient to conclude that the medication has a significant effect on mental performance?  Test at the .05 level of significance.

 

M =    _______________7____________

 

SS =   _____72______________________

 

s²  =    ___________________________

 

SM =    __________1________________________________

 

          tcritical =     ________________________

 

          tcalculated =    ____________________________________

 

          Decision = _______________________

         

 

B. Compute r2, the percentage of variance explained by the treatment effect.

 

r =          ________________________

 

C. Write a sentence demonstrating how the outcome of the hypothesis test and the measure

     of effect size would be presented in a research report.

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