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An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed. If a sample of 16 bulbs has an average life of 50 hours and the population standard deviation is known to be 10 hours.

a) What is the 94% confidence interval for the population mean of all bulbs produced by the firm.

b) What is the 95% PREDICTION interval for the next bulb produced by the firm?

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