Question 1204994: In a factory that produces wire, the spooling machine is programmed to 3,500 feet of wire on each spool. The company ran the machine and then measured how much wire was actually on each spool. They found that the mean length was actually 3,510 feet and the standard deviation was 25 feet. They then ran the machine again and produced a sample of 400 spools of wire. Assume that the data is normally distributed.
1. Draw a normal distribution curve; be sure to include all the intervals and percentages.
2. What is the median and mode?
3. How many spools have at least 3,510 feet of wire?
4. How many spools have less than 3,485 feet of wire?
5. How many spools have between 3,485 and 3,560 feet of wire?
6. How many spools have between 3,460 and 3,535 feet of wire?
7. How many spools are within one standard deviation?
8. How many spools have less than 3,560 feet of wire?
9. How many spools make this inequality true: the amount of wire > 3,485 feet?
Answer by ikleyn(52788) (Show Source):
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https://www.algebra.com/statistics/Density-curves-and-normal-distributions/Density-curves-and-normal-distributions.faq.question.1204995.html
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