Researchers recorded the selling price and age category of forty-four randomly s

Question

Researchers recorded the selling price and age category of forty-four randomly selected houses. Selling price is given per thousands of dollars, and age of the house was indicated as: (1) 0-10 years old, (2) 11-25 years old, (3) 26-50 years old, and (4) > 50 years old. Researchers would like to determine if there is an association between the selling price of a house and the house's age category.

Source of Variation

SS

df

MS

F

P-value

Between Groups

171465

57155

0.0133

Within Groups

564894

40

14122

Total

1)What is the value of df1 (the degrees of freedom associated with between groups variability)?

2) See the output on the attached word document for more information.What is the value of the test statistic (to 2 decimal places)?

3) See the output on the attached word document for more information. At the 0.05 level of significance, do you reject or fail to reject Ho?

Source of Variation

SS

df

MS

F

P-value

Between Groups

171465

57155

0.0133

Within Groups

564894

40

14122

Total

Explanation / Answer

Sol:

There are 4 groups.

the value of df1 (the degrees of freedom associated with between groups variability)=3

Solution2:

What is the value of the test statistic (to 2 decimal places)?

F=MS between/MS within=57155/14122=4.05

F=4.05

3) See the output on the attached word document for more information. At the 0.05 level of significance, do you

p=0.0133

p<0.05

Reject Null hypothesis.

All the 4 group means are different

Source of Variation SS df MS F P-value Between Groups 171465 3 57155 4.0472313 0.013 Within Groups 564894 40 14122

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