Strack, Martin, and Stepper (1988) reported that people rate cartoons as funnier when holding a pen in their teeth (which forced them to smile) than when holding a pen in their lips (which forced them to frown).  A researcher attempted to replicate this result using a sample of n = 25 adults between the ages 40 and 45. For each person, the researcher recorded the difference between the rating obtained while smiling and the rating obtained by frowning. On average, the cartoons were rated funnier when the participants were smiling, with an average difference of M D = 1.6 with SS = 150. In this problem, you do not have to calculate SS or the mean difference which is already provided.  Will there be a difference between the two conditions? Use a two-tailed test with ?α?α = .01    Show all the steps.   Problem solving template  n =  df =  MD=  μD =  s2 =  SM D=  State the hypothesis s and select alpha (consider one tailed or two tailed) Sate hypothesis in words:  Null stated in words:  Alternative stated in words:  State hypothesis in symbols: Hₒ:   State alternative in symbols: Hₗ:  Locate critical region for stated alpha  Compute test statistic (Repeated measure t-score)  Variance for D scores: S2  Estimated standard error SMD :  Computed repeated measure t statistic:  Make a decision about the null hypothesis and state a conclusion.  Decision: Are you going to reject the null or fail to reject the null Conclusion: ex. The independent variable did or did not have a significant effect Remember: if you reject, there was significance

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Strack, Martin, and Stepper (1988) reported that people rate cartoons as funnier when holding a pen in their teeth (which forced them to smile) than when holding a pen in their lips (which forced them to frown).  A researcher attempted to replicate this result using a sample of n = 25 adults between the ages 40 and 45. For each person, the researcher recorded the difference between the rating obtained while smiling and the rating obtained by frowning. On average, the cartoons were rated funnier when the participants were smiling, with an average difference of M D = 1.6 with SS = 150.

In this problem, you do not have to calculate SS or the mean difference which is already provided. 

Will there be a difference between the two conditions? Use a two-tailed test with ?α?α = .01    Show all the steps.

 

Problem solving template 

n = 

df = 

MD= 

μD = 

s2 = 

SM D= 

  1. State the hypothesis s and select alpha (consider one tailed or two tailed) Sate hypothesis in words: 

Null stated in words: 

Alternative stated in words: 

State hypothesis in symbols: Hₒ:  

State alternative in symbols: Hₗ: 

  1. Locate critical region for stated alpha 
  2. Compute test statistic (Repeated measure t-score) 

Variance for D scores: S2 

Estimated standard error SMD : 

Computed repeated measure t statistic: 

  1. Make a decision about the null hypothesis and state a conclusion. 

Decision: Are you going to reject the null or fail to reject the null Conclusion: ex. The independent variable did or did not have a significant effect Remember: if you reject, there was significance




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