8-14. 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. (a) Construct a 95% two-sided confidence interval on the mean life. (b) Construct a 95% lower-confidence bound on the mean life. Compare the lower bound of this confidence interval with the one in part (a).

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Chapter1: Combinatorial Analysis
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8-14. 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.
(a) Construct a 95% two-sided confidence interval on the
mean life.
(b) Construct a 95% lower-confidence bound on the mean life.
Compare the lower bound of this confidence interval with
the one in part (a).
Transcribed Image Text:8-14. 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. (a) Construct a 95% two-sided confidence interval on the mean life. (b) Construct a 95% lower-confidence bound on the mean life. Compare the lower bound of this confidence interval with the one in part (a).
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