Question 503587:  One reads that a business school graduate with an undergraduate degree earns more than a high school graduate with no additional education, and a person with a master’s degree or a doctorate earns even more. To test this, a random sample of 25 executives from companies with assets over $1 million was selected. Their incomes, classified by highest level of education, follow.
 
 
 
  
 Income (in thousands) 
   
  
  
   
   
  
High School 
 Undergraduate 
 Master's Degree 
  
or less 
 degree 
 or higher 
  
  
   
   
  
45 
 49 
 51 
  
47 
 57 
 73 
  
53 
 85 
 82 
  
62 
 73 
 59 
  
39 
 81 
 94 
  
43 
 84 
 89 
  
54 
 89 
 89 
  
  
 92 
 95 
  
  
 62 
 73 
 
 
 
 
Here are the results of the one factor ANOVA. First, identify the null and alternative hypotheses for the test. Second, explain whether you reject or do not reject the null hypothesis. Does earning a degree matter? Explain.
 
 
 
One factor ANOVA 
   
   
   
   
   
   
  
  
   
   
   
   
   
   
   
  
  
 Mean 
 n 
 Std. Dev 
   
   
   
   
  
HS  
 49.0  
 7 
 7.81  
 Group 1 
 HS or less 
   
  
68.8 
 74.7  
 9 
 15.31  
 Group 2 
 Undergrad degree 
   
  
68.8 
 78.3  
 9 
 15.58  
 Group 3 
 Master's degree or higher 
  
  
 68.8  
 25 
 18.32  
 Total 
   
   
   
  
  
   
   
   
   
   
   
   
  
ANOVA table 
   
   
   
   
   
   
   
  
Source 
 SS 
    df 
 MS 
 F 
    p-value 
   
   
  
Treatment 
 3,872.00  
 2 
 1,936.000  
 10.18 
 .0007 
   
   
  
Error 
 4,182.00  
 22 
 190.091  
   
   
   
   
  
Total 
 8,054.00  
 24 
   
   
   
   
   
  
  
   
   
   
   
   
   
  
 
 Answer by xdragonfight(116)      (Show Source): 
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