Question

1. A shoe manufacturer claims that among the general population of adults in the United States, the average length of the left foot is longer than that of the right. A random (okay, this is reaching a little bit but I wanted to use our data) sample of 23 adults is listed below.

Sample	Left (inches)	Right (inches)
1	9.25	9.25
2	9.125	9.25
3	10.2	10.2
4	10.25	10.25
5	9.875	9.75
6	8.25	8.5
7	9.1	8.9
8	8.2	8.1
9	9.0	9.0
10	10.8	10.7
11	11.0	11.25
12	10.2	10.2
13	9.45	9.25
14	8.74	8.72
15	10.7	10.7
16	9.3	9.4
17	10.25	10.25
18	9.875	10.0
19	11.4	11.5
20	8.74	8.76
21	8.7	8.5
22	10.125	10.325
23	10	9.7

Use a significance level of 0.05 (α = 0.05) to test to see if the left foot is longer than the right. Since we are assuming the data is random let’s also assume the population approaches a normal distribution.

Answer 1