Spreading rate of spilled liquid
Spreading rate of spilled liquid. Refer to the Chemicial Engineering Progress (Jan. 2005) study of the rate at which a spilled volatile liquid will spread across a surface, presented in Exercise 11.31 (p. 566). Recall that simple linear regression was used to model y = mass of the spill as a function of y = elapsed time of the spill. The data for the study are saved in the LIQUIDSPILL file.
a. Find a 99% confidence interval for the mean mass of all spills with an elapsed time of 15 minutes. Interpret the result.
b. Find a 99% prediction interval for the mass of a single spill with an elapsed time of 15 minutes. Interpret the result.
c. Compare the intervals you found in parts a and b. Which interval is wider? Will this always be the case? Explain.
Exercise 11.31
Spreading rate of spilled liquid. Refer to the Chemical Engineering Progress (Jan. 2005) study of the rate at which a spilled volatile liquid will spread across a surface, presented in Exercise 2.158 (p. 91). Recall that a DuPont Corp. engineer calculated the mass (in pounds) of a 50-gallon methanol spill after a period ranging from 0 to 60 minutes. Do the data shown in the accompanying table (saved in the LIQUIDSPILL file) indicate that the mass of the spill tends to diminish as time increases? If so, how much will the mass diminish each minute?
Exercise 2.158
Spreading rate of spilled liquid. A contract engineer at DuPont Corp. studied the rate at which a spilled volatile liquid will spread across a surface (Chemical Engineering Progress , Jan. 2005). Suppose that 50 gallons of methanol spills onto a level surface outdoors. The engineer uses derived empirical formulas (assuming a state of turbulence-free convection) to calculate the mass (in pounds) of the spill after a period ranging from 0 to 60 minutes. The calculated mass values are given in the table below and saved in the LIQUIDSPILL file. Is there evidence to indicate that the mass of the spill tends to diminish as time increases?
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Posted 29 Apr 2017 11:04 AM
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