The pressure of air (in MPa) entering a compressor is

Chapter 5, Problem 1E

(choose chapter or problem)

The pressure of air (in MPa) entering a compressor is measured to be X = 8.5 \(\pm\) 0.2, and the pressure of the air leaving the compressor is measured to be Y = 21.2 \(\pm\) 0.3. The intermediate pressure is therefore measured to be \(P=\sqrt{X Y=13.42}\). 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.

Equation transcription:

Text transcription:

\pm

P=\sqrt{X Y=13.42}