Question

In an effort to better manage his inventory levels, the owner of a restaurant chain, wants to know which one of his locations sells more halibut fillets on average. In order to find out, he takes a random sample of seven days worth of sales from each location. The data is shown below:

Observation #	North side # Fillets sold	South side # Fillets sold
1	1	10
2	5	5
3	8	4
4	4	7
5	2	9
6	4	4
7	10	10
Average	4.86	7
Standard dev (s)	3.18	2.71

Test to see if the south side location sells more halibut fillets on average than the north side location. Use alpha=0.05.

Answer 1

H0: Null Hypothesis:

HA:Alternative Hypothesis:

Test statistic is:

t = (4.86 - 7.00)/1.5792 = - 1.36

= 0.05

ndf = n1+n2 - 2 = 7 + 7 - 2 = 12

One Tail Test - Let Side

From Table, critical value of t = - 1.7823

Since the calculated value of t = - 1.36 is greater than critical value of t = - 1.7823, the difference is not significant. Fail to reject null hypothesis.

Conclusion:

The data do not support the claim that the south side location sells more halibut fillets on average than the north side location.