Answer to Question #37888 in Statistics and Probability for lamora

Question

The next 2 questions refer to the following scenario. Suppose the manager of a pet store wants to determine if there is a difference in the amount of money spent in the store, on average, by owners of dogs vs. owners of cats. Consider dog owners as group 1 and cat owners as group 2. Assume that the population standard deviations are equivalent between groups. Below are the sample data for the nine dog owners and the 9 cat owners. Test the hypothesis at alpha equals 1%.
The hypothesis at Ho: µ1 = µ2 vs. Ha: µ1 ≠ µ2.
Group1 Group 2
36 35.5
19 32.5
24.5 30
27 31.5
20 35.5
35 38
24.5 34.5
23.5 36
27.5 26

15) What is the p-value and test statistic used to test this hypothesis?
a) 0.0162 2.134
b) 0.9961 -2.134
c) 0.0339 3.044
d) 0.0756 3.044
e) 0.0077 -3.044

16) Is there a significant difference in the amount of money spent in the pet store, on average, by owners of dogs vs. c