The life in hours of a 75-watt light bulb is known to be normally distributed with o=25 hours. A random sample of 20 bulbs has a mean life of x = 1014 hours. 1. Construct a 95% two-sided confidence interval on the mean life. 2. Construct the lower confidence bound on the mean life. 3. Compare the lower bound this confidence interval with the one in part (1).

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The life in hours of a 75-watt light bulb is known to be normally distributed with \( \sigma = 25 \) hours. A random sample of 20 bulbs has a mean life of \( \bar{x} = 1014 \) hours.

1. Construct a 95% two-sided confidence interval on the mean life.
2. Construct the lower confidence bound on the mean life.
3. Compare the lower bound of this confidence interval with the one in part (1).
Transcribed Image Text:The life in hours of a 75-watt light bulb is known to be normally distributed with \( \sigma = 25 \) hours. A random sample of 20 bulbs has a mean life of \( \bar{x} = 1014 \) hours. 1. Construct a 95% two-sided confidence interval on the mean life. 2. Construct the lower confidence bound on the mean life. 3. Compare the lower bound of this confidence interval with the one in part (1).
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