Solution Found!
Solved: Spreading rate of spilled liquid. Refer to the
Chapter 11, Problem 58E(choose chapter or problem)
Problem 58E
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, Exercise 2.158 (p. 91)..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.Recall that the data on mass of the spill and elapsed time is saved in the LIQUIDSPILL file. Is there sufficient evidence (at α = .05) to indicate that the mass of the spill tends to diminish linearly as elapsed time increases? If so, give an interval estimate (with 95% confidence) of the decrease in spill mass for each minute of elapsed time.
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.
Questions & Answers
QUESTION:
Problem 58E
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, Exercise 2.158 (p. 91)..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.Recall that the data on mass of the spill and elapsed time is saved in the LIQUIDSPILL file. Is there sufficient evidence (at α = .05) to indicate that the mass of the spill tends to diminish linearly as elapsed time increases? If so, give an interval estimate (with 95% confidence) of the decrease in spill mass for each minute of elapsed time.
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.
ANSWER:
Step 1 of 4
If a linear relationship exists between elapsed time (x) and mass of the spill (y), then
following equation will represent the predicted value of y on the given value of x.
The research question “Is there sufficient evidence to indicate that the mass of the spill
tends to diminish linearly as elapsed time increases” can be converted into following null
and alternative hypothesis
against
The rejection of null hypothesis will give af?rmative answer of the research question.