Suppose that in a certain chemical process the reaction time y (hr) is related t

Question

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 = 5.90-0.01x and = 0.065. (a) What is the expected change in reaction time for a 1°F increase in temperature? For an 8°F increase in temperature? 1'F increase 001hr 8°F increase 0.08 hr (b) What is the expected reaction time when temperature is 220°F? When temperature is 250°F? 220°F 3.7 250°F 34 hr (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 3.30 and 3.50 hours? (Round your answer to four decimal places.) 0.8760

Explanation / Answer

c) At 250

y = 5.9 - 0.01 * 250 = 3.4

z1 = (3.3 - 3.4)/0.065 = -1.54

z2 = (3.5 - 3.4)/0.065 = 1.54

P = 0.8764

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