(All Steps) The quality control manager at a light bulb factory needs to estimate the average life of a large shipment of light bulbs. A random sample of
Question:
The quality control manager at a light bulb factory needs to estimate the average life of a large shipment of light bulbs. A random sample of 64 light bulbs indicated a sample average life of 300 hours with a sample standard deviation of 100 hours.
- Set up a 95% confidence interval estimate of the true average life of light bulbs in this shipment.
- Do you think the manufacturer has the right to state that the light bulbs last an average of 400 hours? Justify your answer.
- Explain why an observed value of 250 hours is not unusual for an individual light bulb, even though it is outside the confidence interval you calculated.
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