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Find the critical value Zc necessary to form a confidence interval at the given level of confidence.

The new Twinkle bulb has a mean life of hours with a standard deviation Q = 35 hours. A random sample of 50 light bulbs is selected from inventory. The sample mean was found to be X(with a line above X) 500 hours.

a. Find the margin of error E for a 95% confidence interval =

(Round your answer to the nearest hundredths.)

b.Construct a 95% confidence interval for the mean life, u of all Twinkle bulbs =

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