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9.2 An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours. If a sample of 30 bulbs has an average life of 780 hours, find a 96% confidence interval for the population mean of all bulbs produced by this firm.
Many cardiac patients wear an implanted pace- maker to control their heartbeat. A plastic connec- tor module mounts on the top of the pacemaker. As- suming a standard deviation of 0.0015 inch and an ap- proximately normal distribution, find a 95% confidence
9.5 A random sample of 100 automobile owners in the state of Virginia shows that an automobile is driven on average 23,500 kilometers per year with a standard de- viation of 3900 kilometers. Assume the distribution of measurements to be approximately normal (a) Construct a 99% confidence interval for the aver- age number of kilometers an automobile is driven annually in Virginia (b) What can we assert with 99% confidence about the possible size of our error if we estimate the aver- age number of kilometers driven by car owners in Virginia to be 23,500 kilometers per year?
9.6 How large a sample is needed in Exercise 9.2 if we wish to be 96% confident that our sample mean will be within 10 hours of the true mean?
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