A u.s navy recruiting center knows from past experience that the height of its recruits traditionally been distributed with mean 69 inches. The recruiting center wants to test the claim that the average height of this year's recruits is greater than 69 inches. To do so recruiting personnel to take a random sample of 64 recruits from this year and recorded their heights.
a. identify the null and alternate hypothesis.
b. Do the recruiters find support form the given claim at the 5% significance level.
c. Use sample date to calculate a 95% confidence interval for the average height .conclude?
Recruit Height
1 74.5
2 74.0
3 74.6
4 69.8
5 76.0
6 72.3
7 66.0
8 70.6
9 71.9
10 71.4
11 70.6
12 73.9
13 69.3
14 75.3
15 71.5
16 65.5
17 60.5
18 71.9
19 70.7
20 70.6
21 73.4
22 72.1
23 69.3
24 74.7
25 68.5
26 70.5
27 70.0
28 69.9
29 71.7
30 73.0
31 68.8
32 75.0
33 67.5
34 71.3
35 69.5
36 65.3
37 74.8
38 70.5
39 71.5
40 67.6
41 69.1
42 72.1
43 72.8
44 68.3
45 71.8
46 67.1
47 72.3
48 70.7
49 70.4
50 69.1
51 70.8
52 71.6
53 73.6
54 64.8
55 68.5
56 68.5
57 74.3
58 66.5
59 74.8
60 74.1
61 71.6
62 66.3
63 67.1
64 71.7