What life span represents the 95th percentile

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A consumer advocate group has contacted us about a new line of fluorescent light bulbs manufactured by Bright Ideas, Inc. The company claims their new bulbs have an average lifespan of at least 10,000 hours with a standard deviation of 1,700 hours and have agreed to send us a shipment of 32 bulbs for our examination. We will assume the manufacturer's claims are true and that the lifespans of the bulbs are normally distributed. Suppose we randomly select one of the bulbs from the shipment. i. Find the probability that the lifespan of the bulb will be less than 6,500 hours. Interpret your result. ii. Find the probability that the lifespan of the bulb will be somewhere between 9,000 and 13,000 hours. Interpret your result. iii. Find the probability that the lifespan of the bulb will be more than 12,000 hours. Interpret your result. iv. What lifespan represents the third quartile? Interpret your result. v. What lifespan represents the 95th percentile?

Reference no: EM13218751

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