As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. Use α = 0.05 Barth Tornado Reiser Shaw   43 37 41 43   46 38 45 45   43 39 42 46   State the null hypothesis for the test: State the alternative hypothesis: The total degrees of freedom is _______

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As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. Use α = 0.05

Barth Tornado Reiser Shaw  
43 37 41 43  
46 38 45 45  
43 39 42 46  
  1. State the null hypothesis for the test:
  2. State the alternative hypothesis:
  3. The total degrees of freedom is _______
  4. The amount of total variation or SST is __________.
  5. The among group variation or SSA is __________.
  6. The within group variation or SSW is __________.
  7. The value of MSA is __________
  8. The MSW is __________.
  9. The degrees of freedom are ________

 

  1. The null hypothesis that the mean downhill coasting speeds of the 4 brands of bicycles are equal will be rejected at a level of significance of 0.05 if the value of the test statistic is greater than __________.
  2. In testing the null hypothesis that the mean downhill coasting speeds of the 4 brands of bicycles are equal, the value of the test statistic is __________.
  3. What is your conclusion for this hypothesis test?
  4. For the post hoc comparison you will have ____ pairwise comparisons.

 

  1. The Bonferroni alpha is ______

 

  1. Which pairs have a p value smaller than Bonferroni alpha? ______________

 

  1. What is your conclusion?
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