Suppose that a company makes light bulbs with a mean life of 310 hours, and a standard deviation of 47 hours. 1. What would be the z-score of a light which lasts 293 hours? 2. If a light bulb had a z-score of 2.50, how many hours did it last? 3. What percentage of all light bulbs last less than 276 hours? 4. What percentage of all light bulbs last longer than 343 hours? 5. What percentage of all light bulbs last between 290 and 330 hours? 6. Suppose the company wanted to throw away all light bulbs that were in the lowest 5%. How long would a light bulb need to last in order to be thrown away? (Round to the nearest tenth of an hour.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Solve 4, 5, and 6 please

Suppose that a company makes light bulbs with a mean life
of 310 hours, and a standard deviation of 47 hours.
1. What would be the z-score of a light which lasts 293 hours?
2. If a light bulb had a z-score of 2.50, how many hours did it last?
3. What percentage of all light bulbs last less than 276 hours?
4. What percentage of all light bulbs last longer than 343 hours?
5. What percentage of all light bulbs last between 290 and 330 hours?
6. Suppose the company wanted to throw away all light bulbs that were in the lowest
5%. How long would a light bulb need to last in order to be thrown away?
(Round to the nearest tenth of an hour.)
Transcribed Image Text:Suppose that a company makes light bulbs with a mean life of 310 hours, and a standard deviation of 47 hours. 1. What would be the z-score of a light which lasts 293 hours? 2. If a light bulb had a z-score of 2.50, how many hours did it last? 3. What percentage of all light bulbs last less than 276 hours? 4. What percentage of all light bulbs last longer than 343 hours? 5. What percentage of all light bulbs last between 290 and 330 hours? 6. Suppose the company wanted to throw away all light bulbs that were in the lowest 5%. How long would a light bulb need to last in order to be thrown away? (Round to the nearest tenth of an hour.)
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