A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below. A B C D   1.2 2.5 1 0.8   1.1 2.1 1.5 1.3   0.9 1.9 1.1 1.1   0.4 1.6 1.3 0.7             Answer the following question. For decimals, round to four decimal places.   State the null hypothesis for this test.   The grand mean for these observations is ____________   The SST for these observations is ____________

MATLAB: An Introduction with Applications
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Problem 1

A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.

A B C D  
1.2 2.5 1 0.8  
1.1 2.1 1.5 1.3  
0.9 1.9 1.1 1.1  
0.4 1.6 1.3 0.7  
         

Answer the following question. For decimals, round to four decimal places.

 

  1. State the null hypothesis for this test.

 

  1. The grand mean for these observations is ____________

 

  1. The SST for these observations is ____________

 

  1. The SSA for these observations is ____________

 

  1. The total degrees of freedom is _________________

 

  1. The SSW is _________________

 

  1. The within group mean square is _________________

 

  1. The MSA is __________

 

  1. At the 0.05 level of significance, the test statistic would be ________

 

  1. The degrees of freedom are ________

 

  1. Using α = 0.05, the critical value for this test would be ________

 

  1. What is the p value _______

 

  1. What is your conclusion?

 

  1. 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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