Question
please answer the following ASAP 6 Use the following data for problems 6.a and 6.b. A community college instructor finds that his students score on
please answer the following ASAP
6 | Use the following data for problems 6.a and 6.b. A community college instructor finds that his students score on an exam is normally distributed with a population mean = 83 and population standard deviation = 5.
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6.a | The instructor wants to pass 95% of the class. What should be the minimum passing grade? |
6.b | The instructor wants to give As to 30% of his students. What should be the minimum grade for an A?
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7 | For problem 7.a and 7.b, assume the following. A manufacturer of high intensity lamps finds that the useful life of the lamps is normally distributed with population mean = 70 months and population standard deviation s = 12 months.
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7.a | A sample size n = 16 is taken. What is the probability that the sample mean is greater than 75 months?
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7.b | The manufacturer wants to write a warranty so that only 1.5% (0.015) of the lamps fail while still under warranty. For how long should the warranty be written?
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8 | Assume that 84% of American teenagers attend a public high school. A random sample of 400 American teenagers is taken. What is the probability that 325 or fewer attend a public high school?
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9 | Using the normal table find z0.15, the value of z that gives an area of0.15 in each tail.
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