How much oil wells in a given field will ultimately produce is key information in deciding whether to drill more wells. Data was
collected estimating the total amount of oil recovered (in thousands of barrels) from 64 wells in the Devonian Richmond Dolomite area of the Michigan Basin. The data is in an Excel file on Canvas. Give a 95% confidence interval for the mean amount of oil recovered from all wells in this area.
DATA:
Oil
21.7
53.2
46.4
42.7
50.4
97.7
103.1
51.9
43.4
69.5
156.5
34.6
37.9
12.9
2.5
31.4
79.5
26.9
18.5
14.7
32.9
196
24.9
118.2
82.2
35.1
47.6
54.2
63.1
69.8
57.4
65.6
56.4
49.4
44.9
34.6
92.2
37
58.8
21.3
36.6
64.9
14.8
17.6
29.1
61.4
38.6
32.5
12
28.3
204.9
44.5
10.3
37.7
33.7
81.1
12.1
20.1
30.5
7.1
10.1
18
3
2
DATA:
Oil
21.7
53.2
46.4
42.7
50.4
97.7
103.1
51.9
43.4
69.5
156.5
34.6
37.9
12.9
2.5
31.4
79.5
26.9
18.5
14.7
32.9
196
24.9
118.2
82.2
35.1
47.6
54.2
63.1
69.8
57.4
65.6
56.4
49.4
44.9
34.6
92.2
37
58.8
21.3
36.6
64.9
14.8
17.6
29.1
61.4
38.6
32.5
12
28.3
204.9
44.5
10.3
37.7
33.7
81.1
12.1
20.1
30.5
7.1
10.1
18
3
2
1 answer:
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The above system has many solution, we can select for example:
x = 1, y = 16. So we can work one hour at the first job and 16 hour at the second job.
Let x be the number of hours in the first job, and y be the number of hours in the second job.
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x = 1, y = 16. So we can work one hour at the first job and 16 hour at the second job.
(a) Suppose 
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. Then
So we expect a general solution of the form
With
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So the particular solution to the recurrence is
(b) Let
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From here you would write each term as a power series (easy enough, since they're all geometric or derived from a geometric series), combine the series into one, and the solution to the recurrence will be the coefficient of, ideally matching the solution found in part (a).
So we expect a general solution of the form
With
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(b) Let
From here you would write each term as a power series (easy enough, since they're all geometric or derived from a geometric series), combine the series into one, and the solution to the recurrence will be the coefficient of