Four different designs for a digital computer circuit are being studied in order to compare the amount of noise present. The following data have been obtained: Circuit Design Noise Observed 1 19 20 19 30 8 80 61 73 56 80 3 47 26 25 35 50 4 95 46 83 78 97 (a) Is the amount of noise present the same for all four designs? Use a = 0.05. (b) Compute a 99% confidence interval of the mean of circuit design 3. (c) Compute a 95% confidence interval estimate of the mean difference between circuit designs 4 and 3. Is the amount of noise present the same for designs 3 and 4? Use a = 0.05.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Four different designs for a digital computer circuit are being studied in order to compare the amount of
noise present. The following data have been obtained:
TIII
Circuit Design
Noise Observed
1
19
20
19
30
8
2
80
61
73
56
80
3
47
26
25
35
50
4
95
46
83
78
97
(a) Is the amount of noise present the same for all four designs? Use a = 0.05.
(b) Compute a 99% confidence interval of the mean of circuit design 3.
(c) Compute a 95% confidence interval estimate of the mean difference between circuit designs 4 and 3.
Is the amount of noise present the same for designs 3 and 4? Use a = 0.05.
(d) Test all pairs of means using the Fisher LSD method with a = 0.05.
(e) Analyze the residuals from this experiment. Are the analysis of variance assumptions satisfied?
(f) Which circuit design would you select for use? Low noise is best. [Hint: Figure out which designs
produce lower mean values of noise. Use (d) to check whether or not these designs differ significantly.
Finally, make recommendation.]
Transcribed Image Text:Four different designs for a digital computer circuit are being studied in order to compare the amount of noise present. The following data have been obtained: TIII Circuit Design Noise Observed 1 19 20 19 30 8 2 80 61 73 56 80 3 47 26 25 35 50 4 95 46 83 78 97 (a) Is the amount of noise present the same for all four designs? Use a = 0.05. (b) Compute a 99% confidence interval of the mean of circuit design 3. (c) Compute a 95% confidence interval estimate of the mean difference between circuit designs 4 and 3. Is the amount of noise present the same for designs 3 and 4? Use a = 0.05. (d) Test all pairs of means using the Fisher LSD method with a = 0.05. (e) Analyze the residuals from this experiment. Are the analysis of variance assumptions satisfied? (f) Which circuit design would you select for use? Low noise is best. [Hint: Figure out which designs produce lower mean values of noise. Use (d) to check whether or not these designs differ significantly. Finally, make recommendation.]
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