An investigator predicts that dog owners int he country spend a different amount of time walking their dogs than do dog owners in the city. The investigator gets a sample of 8 country dog owners and 8 city dog owners. Below are the number of hours a week each dog owner walks his or her dog. Use an alpha level of .05 to test the hypothesis that there is a difference in the amount of time country vs city dog owners spend walking their dogs is 10.0. The standard deviation of hours spent walking the dog by city owners is 3.0. The mean number of hours country owners spent walking their dogs per week was 15.0. The standard deviation of the number of hours spent walking the dog by owners in the country was 4.0. Do dog owners in the country spend more time walking their dogs than do dog owners in the city? Required:
a. State the null and alternative hypotheses.
b. Provide the decision rule for rejecting the null hypothesis.
c. Using an alpha level of 0.05, please test the null hypothesis.
d. State the conclusion you are entitled to draw as a result of this test.