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.
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. 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?
Time (minutes) | Mass (pounds) |
0 | 6.64 |
1 | 6.34 |
2 | 6.04 |
4 | 5.47 |
6 | 4.94 |
8 | 4.44 |
10 | 3.98 |
12 | 3.55 |
14 | 3.15 |
16 | 2.79 |
18 | 2.45 |
20 | 2.14 |
22 | 1.86 |
24 | 1.60 |
26 | 1.37 |
28 | 1.17 |
30 | 0.98 |
35 | 0.60 |
40 | 0.34 |
45 | 0.17 |
50 | 0.06 |
55 | 0.02 |
60 | 0.00 |
Based on Barry, J. “Estimating rates of spreading and evaporation of volatile liquids.” Chemical Engineering Progress , Vol. 101, No. 1, Jan. 2005, p. 38.
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.
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