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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf4d5614-e5fa-4399-aabc-c345eeef0588%2F23ce0de0-e5bd-42c2-b4bc-2765bd96db05%2Foa090ij_processed.png&w=3840&q=75)
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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