Suppose that in a certain chemical process the reaction time (in hours) is related to the temperature (F) in the chamber in which the reaction takes place, according to the simple linear regression model where 0=4.92,1=0.01, and =0.08. (a) What is the expected change in reaction time for a 1F increase in temperature? For a 9F increase in temperature? (Provide exact values.) 1F increase: 9F increase: (b) What is the expected reaction time when temperature is 190F ? When temperature is 250F ? (Round your answers to 4 decimal places, if needed.) 190F: 250F: (c) If the temperature is 250F, what is the probability that the reaction time is between 2.35 and 2.48 hours? (Round your answers to 4 decimal places, if needed.) (d) Suppose five observations are made independently on reaction time, each one for a temperature of 250F. What is the probability that all five times are between 2.35 and 2.48 hours? (Round your answers to 4 decimal places, if needed.) (e) If two independently observed reaction times for temperatures are 1 apart, what is the probability that the time at the higher temperature exceeds the time at the lower temperature? (Round your answers to 4 decimal places, if needed.)