Four chemical plants, producing the same products and owned by the same company, discharge effluents into streams in the vicinity of their locations. To monitor the extent of pollution created by the effluents and to determine whether this differs from plant to plant, the company collected random samples of liquid waste, five specimens from each plant. The data are given below along with output from the ANOVA test to determine whether a difference exists between the mean weight of effluents per gallon in the effluents discharged from the four plants. a = 0.05 was used. SUMMARY GROUPS COUNT SUM AVERAGE A 5 7.84 1.568 B 5 1.772 C 5 1.546 D 5 1.916 Error Total 8.86 7.73 9.58 1. Complete the ANOVA table. (a) (b) (c) ANOVA TABLE SOURCE OF VARIATION DF SS MS F p-value Treatment. (a) 0.465 0.155 5.200 0.011 16 19 VARIANCE 0.01867 1 0.04667 0.02533 0.02853 (b) (c) 0.942 2. Construct a 95% confidence interval for the mean amount of polluting effluent per gallon for plant A. If the limit for the mean amount of polluting effluent is 1.5 pound/gallon, would you conclude that plant A exceeds this limit? Why? 3. Give a 95% confidence interval for the difference in mean polluting effluent per gallon for plants A and D. Does this interval indicate that mean effluent per gallon differs for these two plants? Why?
Four chemical plants, producing the same products and owned by the same company, discharge effluents into streams in the vicinity of their locations. To monitor the extent of pollution created by the effluents and to determine whether this differs from plant to plant, the company collected random samples of liquid waste, five specimens from each plant. The data are given below along with output from the ANOVA test to determine whether a difference exists between the mean weight of effluents per gallon in the effluents discharged from the four plants. a = 0.05 was used. SUMMARY GROUPS COUNT SUM AVERAGE A 5 7.84 1.568 B 5 1.772 C 5 1.546 D 5 1.916 Error Total 8.86 7.73 9.58 1. Complete the ANOVA table. (a) (b) (c) ANOVA TABLE SOURCE OF VARIATION DF SS MS F p-value Treatment. (a) 0.465 0.155 5.200 0.011 16 19 VARIANCE 0.01867 1 0.04667 0.02533 0.02853 (b) (c) 0.942 2. Construct a 95% confidence interval for the mean amount of polluting effluent per gallon for plant A. If the limit for the mean amount of polluting effluent is 1.5 pound/gallon, would you conclude that plant A exceeds this limit? Why? 3. Give a 95% confidence interval for the difference in mean polluting effluent per gallon for plants A and D. Does this interval indicate that mean effluent per gallon differs for these two plants? Why?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Four chemical plants, producing the same products and owned by the same company, discharge effluents
into streams in the vicinity of their locations. To monitor the extent of pollution created by the effluents
and to determine whether this differs from plant to plant, the company collected random samples of
liquid waste, five specimens from each plant. The data are given below along with output from the
ANOVA test to determine whether a difference exists between the mean weight of effluents per gallon
in the effluents discharged from the four plants. a = 0.05 was used.
(b)
SUMMARY
GROUPS COUNT SUM AVERAGE
A
5
7.84
1.568
5
8.86
5
7.73
5
9.58
(c)
B
C
D
ANOVA TABLE
SOURCE OF VARIATION
Treatment
1. Complete the ANOVA table.
Error
Total
1.772
1.546
1.916
1
VARIANCE
0.01867
0.04667
0.02533
0.02853
DF SS MS F p-value
(a) 0.465 0.155 5.200 0.011
16 (b)
(c)
19 0.942
2. Construct a 95% confidence interval for the mean amount of polluting effluent per gallon for plant.
A. If the limit for the mean amount of polluting effluent is 1.5 pound/gallon, would you conclude
that plant A exceeds this limit? Why?
3. Give a 95% confidence interval for the difference in mean polluting effluent per gallon for plants.
A and D. Does this interval indicate that mean effluent per gallon differs for these two plants?
Why?
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