In a sample of 80 light bulbs, the mean lifetime was 1217 hours. Assume the population standard

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In a sample of 80 light bulbs, the mean lifetime was 1217 hours. Assume the population standard deviation is 52 hours.

a. Find a 95\% confidence interval for the mean lifetime of this type of light bulb.

b. Find a \(98 \%\) confidence interval for the mean lifetime of this type of light bulb.

c. An engineer claims that the mean lifetime is between 1208 and 1226 hours. With what level of confidence can this statement be made?

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