A researcher investigated the effect of different volumes of background noise on participants’ accuracy rates while performing a difficult task. He tested three groups (n = 11) and obtained the following means: for low volume, X̅ = 66.5; for medium, X̅ = 61.5; for loud, X̅ = 48.25. He computed the following sums of squares: Source Sum of Squares df  Mean Square F Between 452.16       Within 522.75       Total 974.91         Complete the ANOVA summary table. What are H0 and Ha? What is Fcrit? What do you conclude about Fobt? Perform the Tukey HSD test if appropriate. What do you conclude about this relationship? What is the effect size in this study, and what does this tell you about this factor?

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  1. A researcher investigated the effect of different volumes of background noise on participants’ accuracy rates while performing a difficult task. He tested three groups (n = 11) and obtained the
    following means: for low volume, X̅ = 66.5; for medium, X̅ = 61.5; for loud, X̅ = 48.25. He computed the following sums of squares:

Source

Sum of Squares

df 

Mean Square

F

Between

452.16

     

Within

522.75

     

Total

974.91

     



 

  • Complete the ANOVA summary table.
  • What are H0 and Ha?
  • What is Fcrit?
  • What do you conclude about Fobt?
  • Perform the Tukey HSD test if appropriate.
  • What do you conclude about this relationship?
  • What is the effect size in this study, and what does this tell you about this factor?

 

 

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