4)A new procedure for the determination of sulfur in coal was tested on a standard coal sample with certified value of 2.14% sulfur by mass. The new procedure gave results of 2.11%, 2.07%, 2.04%, 2.06%, and 2.16% for five separate determinations. a) Does the new procedure give the correct result at the 95% confidence level? b) Does the new procedure give the correct result at the 90% confidence level? c) Based on your answers to parts (a) and (b), fill in the blank in the following statement: There is at least a % chance that the difference between the certified value and the values obtained by the new procedure is due to random error.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please Literal C, and with the answers a and b  why these answers give the correct result for a and b

4)A new procedure for the determination of sulfur in coal was tested on a standard coal sample with
certified value of 2.14% sulfur by mass. The new procedure gave results of 2.11%, 2.07%, 2.04%,
2.06%, and 2.16% for five separate determinations.
a) Does the new procedure give the correct result at the 95% confidence level?
b) Does the new procedure give the correct result at the 90% confidence level?
c) Based on your answers to parts (a) and (b), fill in the blank in the following statement: There is at
least a % chance that the difference between the certified value and the values obtained by
the new procedure is due to random error.
Results
Sample size (n)
Mean
Standard Deviation
Degree of fredom n-1
Confidence interval 95%
Confidence interval 90%
95% CI
90% CI
2.11
2.07
2.04
2.06
2.16
5
2.088
0.047644517
4
0.95
0.9
0.05
0.1
0.041761493 [2.129,2.04624]
0.03504735 [2.1230,2.0529]
Transcribed Image Text:4)A new procedure for the determination of sulfur in coal was tested on a standard coal sample with certified value of 2.14% sulfur by mass. The new procedure gave results of 2.11%, 2.07%, 2.04%, 2.06%, and 2.16% for five separate determinations. a) Does the new procedure give the correct result at the 95% confidence level? b) Does the new procedure give the correct result at the 90% confidence level? c) Based on your answers to parts (a) and (b), fill in the blank in the following statement: There is at least a % chance that the difference between the certified value and the values obtained by the new procedure is due to random error. Results Sample size (n) Mean Standard Deviation Degree of fredom n-1 Confidence interval 95% Confidence interval 90% 95% CI 90% CI 2.11 2.07 2.04 2.06 2.16 5 2.088 0.047644517 4 0.95 0.9 0.05 0.1 0.041761493 [2.129,2.04624] 0.03504735 [2.1230,2.0529]
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