(TCO C)A manufacturer of a new less expensive type of light bulb claims that this product is very well made and even more reliable than the higher priced competitive light bulbs. In order to examine the manufacturers claim a random sample of 50 bulbs is tested for length of life. The results are the following.Sample Size = 50Sample Mean = 5200 hoursSample Standard Deviation = 500 hoursa. Compute the 99% confidence interval for the mean life of this new type of light bulb.b. Interpret this interval.c. How many light bulbs should be tested if the manufacturer wants to be 99% confident of being within 100 hours of the population mean life?

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