In a certain chemical process the reaction time y (hr) is known to be related according to the simple linear regression model to the temperature x (°F) in the chamber in which the reaction takes place. The model equation is y 5.00 .01x e, with .075.

a. What is the true average change in reaction time associated with a 1°F increase in temperature? A 10°F increase in temperature?

b. What is the true average reaction time when temperature is 200°F? When temperature is 250°F?

c. What is P(2.4 y 2.6 when 250)? If an investigator makes five independent experimental runs, each for a temperature of 250°F, what is the probability that all five observed reaction times are between 2.4 and 2.6?