The national association of home builders provided data on the cost of the most
ID: 3435362 • Letter: T
Question
The national association of home builders provided data on the cost of the most popular home remodeling projects. use the mann-whitney-wilcoxon test to see whether it can be concluded that the cost of kitchen remodeling differs from the cost of master bedroom remodeling. use a .05 level of significance.
Kitchen Bedroom
25,200 18,000
17,400 22,900
22,800 26,400
21,900 24,800
19,700 26,900
23,000 17,800
19,700 24,600
16,900 21,000
21,800
23,600
Explanation / Answer
The test hypothesis:
Ho: it can not be concluded that the cost of kitchen remodeling differs from the cost of master bedroom remodeling (i.e. null hypothesis)
Ha: it can be concluded that the cost of kitchen remodeling differs from the cost of master bedroom remodeling (i.e. alternative hypothesis)
The test statistic is
Since the p-value is larger than 0.05, we do not reject the null hypothesis.
So we can not conclude that it can be concluded that the cost of kitchen remodeling differs from the cost of master bedroom remodeling
No. Label Data Rank 1 Kitchen 25200 16 2 Kitchen 17400 2 3 Kitchen 22800 10 4 Kitchen 21900 9 5 Kitchen 19700 5.5 6 Kitchen 23000 12 7 Kitchen 19700 5.5 8 Kitchen 16900 1 9 Kitchen 21800 8 10 Kitchen 23600 13 11 Bedroom 18000 4 12 Bedroom 22900 11 13 Bedroom 26400 17 14 Bedroom 24800 15 15 Bedroom 26900 18 16 Bedroom 17800 3 17 Bedroom 24600 14 18 Bedroom 21000 7