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The new Twinkle bulb has a standard deviation hours. A random sample of 50 light bulbs is selected from inventory. The sample mean was found to be...

2. The new Twinkle bulb has a standard deviation hours. A random sample of 50 light bulbs is selected from inventory. The sample mean was found to be 500 hours.

a. Find the margin of error E for a 95% confidence interval. (5 points)
Round your answer to the nearest hundredths. . (References:
definition of margin of error on page 312 and example 2 on
page 312).


b. Construct a 95% confidence interval for the mean life,  of all Twinkle bulbs. (5 points) (References: example 5 page 315, end of section exercises 51 - 56 pages 319 - 320)

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