In: Statistics and Probability
2. Data for the average cost of a major remodeling job nearly 20 years ago in 11 selected US cities were captured and are shown below: City Average Cost Atlanta, GA $20,427 Boston, MA 27,255 Des Moines, IA 22,115 Kansas City, MO 23,256 Louisville, KY 21,887 Portland, OR 24,255 Raleigh-Durham, NC 19,852 Reno, NV 23,624 Ridgewood, NJ 25,885 San Francisco, CA 28,999 Tulsa, OK 20,836 a. Under what circumstances could a t-test be used to determine whether the mean cost of remodeling a kitchen in the United States was greater than $25,000? b. What is the name of an alternative nonparametric test? Specify the null and alternative hypotheses of the test. c. Conduct the test in part b using α = .05. Interpret your results in the context of the problem.