Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
9th Edition
ISBN: 9781305764477
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 12.1, Problem 11E
Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°F) in the chamber in which the reaction takes place according to the simple linear regression model with equation y = 5.00 − .01x and σ = .075.
- a. What is the expected change in reaction time for a 1°F increase in temperature? For a 10°F increase in temperature?
- b. What is the expected reaction lime when temperature is 200°F? When temperature is 250°F?
- c. Suppose five observations are made independently on reaction time, each one for a temperature of 250°F. What is the
probability that all five times are between 2.4 and 2.6 hr? - d. What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the lime at the lower temperature?
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Chapter 12 Solutions
Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
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