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# The pressure of air (in MPa) entering a compressor is ISBN: 9780073401331 38

## Solution for problem 1E Chapter 5.10

Statistics for Engineers and Scientists | 4th Edition

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Problem 1E

The pressure of air (in MPa) entering a compressor is measured to be X = 8.5 ± 0.2, and the pressure of the air leaving the compressor is measured to be Y = 21.2 ± 0.3. The intermediate pressure is therefore measured to be P = = 13.42. Assume that X and Y come from normal populations and are unbiased.

a. From what distributions is it appropriate to simulate values X* and Y*?

b. Generate simulated samples of values X*, Y*, and P*.

c. Use the simulated sample to estimate the standard deviation of P.

d. Construct a normal probability plot for the values P*. Is it reasonable to assume that P is approximately normally distributed?

e. If appropriate, use the normal curve to find a 95% confidence interval for the intermediate pressure.

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##### ISBN: 9780073401331

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