An semicon company manufactures LED bulbs that have a length of life that is approximately normally distributed with a standard deviation of 2000 hours. If a sample of 35 bulbs has an average life of 45,000 hours, a. Find a 95% confidence interval for the population mean of all bulbs produced by this firm. b. How large a sample is needed if we wish to be 90% confident that our sample mean will be within 450 hours of the true mean?

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An semicon company manufactures LED bulbs that have a length of life that
is approximately normally distributed with a standard deviation of 2000
hours. If a sample of 35 bulbs has an average life of 45,000 hours,
a. Find a 95% confidence interval for the population mean of all bulbs
produced by this firm.
b. How large a sample is needed if we wish to be 90% confident that our
sample mean will be within 450 hours of the true mean?

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