A random sample of 30 executives from companies with assets over $1 million was selected and asked for their annual income and level of education. The following table summarized the results: Using this output, what conclusions can you draw?
A) Since the calculated F-value is smaller than the F-critical value, there is a significant difference in the incomes of these 3 groups.
B) Since the calculated F-value is smaller than the F-critical value, there is no significant difference in the incomes of these three groups.
C) Since the P-value is 0.001, there is a 10% chance of these results happening when there is no significant difference in the incomes of these three groups.
D) Since the calculated F-value is larger than the F-critical value, and the P-value is so small, there is strong evidence to suggest that the three groups with different levels of education do not all have the same incomes.
E) Since the calculated F-value is larger than the F-critical value, and the P-value is so small, there is strong evidence to suggest that all three groups with different levels of education have the same incomes.

Question

A random sample of 30 executives from companies with assets over $1 million was selected and asked for their annual income and level of education. The following table summarized the results:   Using this output, what conclusions can you draw?
A) Since the calculated F-value is smaller than the F-critical value, there is a significant difference in the incomes of these 3 groups. 
B) Since the calculated F-value is smaller than the F-critical value, there is no significant difference in the incomes of these three groups. 
C) Since the P-value is 0.001, there is a 10% chance of these results happening when there is no significant difference in the incomes of these three groups. 
D) Since the calculated F-value is larger than the F-critical value, and the P-value is so small, there is strong evidence to suggest that the three groups with different levels of education do not all have the same incomes. 
E) Since the calculated F-value is larger than the F-critical value, and the P-value is so small, there is strong evidence to suggest that all three groups with different levels of education have the same incomes.

Quizplus · Accepted Answer

The Answer of A random sample of 30 executives from companies with assets over $1 million was selected and asked for their annual income and level of education. The following table summarized the results:   Using this output, what conclusions can you draw?
A) Since the calculated F-value is smaller than the F-critical value, there is a significant difference in the incomes of these 3 groups. 
B) Since the calculated F-value is smaller than the F-critical value, there is no significant difference in the incomes of these three groups. 
C) Since the P-value is 0.001, there is a 10% chance of these results happening when there is no significant difference in the incomes of these three groups. 
D) Since the calculated F-value is larger than the F-critical value, and the P-value is so small, there is strong evidence to suggest that the three groups with different levels of education do not all have the same incomes. 
E) Since the calculated F-value is larger than the F-critical value, and the P-value is so small, there is strong evidence to suggest that all three groups with different levels of education have the same incomes.

A Random Sample of 30 Executives from Companies with Assets