Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 12.1, Problem 9E
The flow rate y (m3/min) in a device used for air-quality measurement depends on the pressure drop x (in. of water) across the device’s filter. Suppose that for x values between 5 and 20, the two variables are related according to the simple linear regression model with true regression line y = −.12 + .095x.
- a. What is the expected change in flow rate associated with a 1-in. increase in pressure drop? Explain.
- b. What change in flow rate can be expected when pressure drop decreases by 5 in.?
- c. What is the expected flow rate for a pressure drop of 10 in.? A drop of 15 in.?
- d. Suppose σ = .025 and consider a pressure drop of 10 in. What is the
probability that the observed value of flow rate will exceed .835? That observed flow rate will exceed .840? - e. What is the probability that an observation on flow rate when pressure drop is 10 in. will exceed an observation on flow rate made when pressure drop is 11 in.?
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Chapter 12 Solutions
Probability and Statistics for Engineering and the Sciences
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