In one hour, a factory packaged 150 boxes of light bulbs. Estimate the total number of defective light bulbs packaged that hour based on a sample of 8 boxes containing the following numbers of defective bulbs: 5, 3, 5, 1, 2, 9, 4, 3
Find the mean (∑x/n) for your sample and multiply by 150.
To estimate the total number of defective light bulbs packaged in one hour, we can use the concept of sampling.
1. Calculate the average number of defective light bulbs per box in the sample:
- Add up the numbers of defective bulbs in the sample boxes: 5 + 3 + 5 + 1 + 2 + 9 + 4 + 3 = 32
- Divide the total by the number of sample boxes: 32 / 8 = 4
2. Calculate the total number of boxes packaged in one hour:
- In the given information, it's mentioned that the factory packaged 150 boxes in one hour.
3. Estimate the total number of defective light bulbs packaged:
- Multiply the average number of defective bulbs per box (4) by the total number of boxes packaged (150): 4 * 150 = 600
So, the estimated total number of defective light bulbs packaged in one hour is 600.