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Get Full Access to Probability And Statistics For Engineering And The Sciences - 9 Edition - Chapter 12.1 - Problem 11
Get Full Access to Probability And Statistics For Engineering And The Sciences - 9 Edition - Chapter 12.1 - Problem 11

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# Suppose that in a certain chemical process the reactiontime y (hr) is related to the

ISBN: 9781305251809 122

## Solution for problem 11 Chapter 12.1

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 11

Suppose that in a certain chemical process the reactiontime y (hr) is related to the temperature (F) in thechamber in which the reaction takes place according tothe simple linear regression model with equation y 55.00 2 .01x and s 5 .075.a. What is the expected change in reaction time for a1F increase in temperature? For a 10F increase in temperature?b. What is the expected reaction time when temperatureis 200F? When temperature is 250F?c. Suppose five observations are made independently onreaction time, each one for a temperature of 250F.What is the probability that all five times are between2.4 and 2.6 hr?d. What is the probability that two independently observedreaction times for temperatures 1 apart are such thatthe time at the higher temperature exceeds the time atthe lower temperature?

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Lecture 08/30/17 → Chapter 2: Graphs and Descriptive Statistics ← Listed Form: 3,4,7,9,10,10,10,14,15,17,17,19,20,20,20 Grouped (Frequency) Form: 3 | 1 4 | 1 7 | 1 9 | 1 10 | 3 14 | 1 15 | 1 17 | 2 19 | 1 20 | 3 ———— 15 Interval (Frequency) Form: Class: 3-9 10-16 17-23 LCL - UCL Lower Class Limit - Upper Class Limit LCB = LCL - tol/2 UCB = UCL + tol/2 Class Width: Length + 1 of the class so 7-7-7 Class Midpoint = (UCL + LCL)/2 9+3 = 12/2 = 6 10 + 16 = 26/2 = 13 17 + 23 = 40/2 = 20 Frequency: 4 5 6 —— 15 Sigma = Sum Ef = 15 = n (Sample Size) Tolerance = LCL of next class - UCL of previous class. Relative frequency = F/total f Symmetric = Bell-shaped Left-Shewed = left bell Right-Shewed = right bell Outliers = data that don’t ac

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