Joan moves into her apartment and wants to purchase a new couch. She wants to determine if there is any difference between the average cost of couches at two different stores. Test the hypothesis that there is no difference at a=0.05

Store 1 Store 2
x(sample mean).........$650... $730
o(sample deviation).... $61... $78
n....................... 24.... 21

1 answer

Ho: u1-u2 = 0
Ha: u1-u2 is not 0
test-statistic = -3.8563
p-value = 0.00038
df = 43
Conclusion:Since p-value is less than alpha=5%, Reject Ho.
There is at difference in the average cost of couches at these two stores.