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Defective Lightbulbs in a Given Shipments

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

Solution Summary

The confidence level for the number of defective bulbs in 1000 boxes of shipped bulbs is constructed.

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