Confidence interval estimation
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A lightbulb manufacturer wants to estimate the total number of defective
bulbs contained in all of the boxes shipped by the company during the past week.
Production personnel at this company have recorded the number of defective bulbs
found in each of 50 randomly selected boxes shipped during the past week.
There data are provided in this file.
Construct a 99% confidence interval for the total number of defective bulbs contained
in the 1000 boxes shipped by this company during the past week.
Number of Defective Light Bulbs in Randomly Selected Boxes of a Given Shipment
Box Number_Defective
1 1
2 0
3 0
4 0
5 0
6 1
7 0
8 0
9 2
10 0
11 0
12 0
13 0
14 0
15 0
16 0
17 0
18 1
19 1
20 0
21 0
22 1
23 0
24 0
25 0
26 0
27 0
28 0
29 1
30 0
31 0
32 0
33 2
34 0
35 1
36 0
37 0
38 1
39 0
40 0
41 0
42 2
43 3
44 0
45 2
46 0
47 0
48 2
49 0
50 0
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Solution Summary
The solution provides step by step method for the calculation of confidence interval . Formula for the calculation and Interpretations of the results are also included.
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