The national association of home builders provided data on t

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

Solution

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