(a) B (b) (c) 2.6 3.0 2.6 2.8 3.2 Q= Qcrit = Decision: E 0.812 0.792 0.794 0.900 Q= Qrit= Decision: F 70.65 70.63 70.64 70.21 Q= Qcrit = Decision: Critical Values for the Rejection Quotient, Q* Number of Observations 3 4 Qarit (Reject if Q> Qcrit) 90% Confidence 95% Confidence 99% Confidence 0.941 0.970 0.994 0.765 0.829 0.926 5 0.642 0.710 0.821 6 0.560 0.625 0.740 7 0.507 0.568 0.680 8 0.468 0.526 0.634 9 0.437 0.493 0.598 10 0.412 0.466 0.568 *Reprinted (adapted) with permission from D. B. Rorabacher, Anal. Chem., 1991, 63, 139, DOI: 10.1021/ac00002a010. Copyright 1991 American Chemical Society.

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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Problem 1P
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Question

The last result in each set of data may be an outlier. Apply the Q test (90% confidence level) to determine whether or not there is a statistical basis to reject the result.

Answer accordingly using appropriate the significant figures for each answer.

 

(a)
B
(b)
(c)
2.6
3.0
2.6
2.8
3.2
Q=
Qcrit
=
Decision:
E
0.812
0.792
0.794
0.900
Q=
Qrit=
Decision:
F
70.65
70.63
70.64
70.21
Q=
Qcrit
=
Decision:
Transcribed Image Text:(a) B (b) (c) 2.6 3.0 2.6 2.8 3.2 Q= Qcrit = Decision: E 0.812 0.792 0.794 0.900 Q= Qrit= Decision: F 70.65 70.63 70.64 70.21 Q= Qcrit = Decision:
Critical Values for the Rejection Quotient, Q*
Number of
Observations
3
4
Qarit (Reject if Q> Qcrit)
90% Confidence
95% Confidence
99% Confidence
0.941
0.970
0.994
0.765
0.829
0.926
5
0.642
0.710
0.821
6
0.560
0.625
0.740
7
0.507
0.568
0.680
8
0.468
0.526
0.634
9
0.437
0.493
0.598
10
0.412
0.466
0.568
*Reprinted (adapted) with permission from D. B. Rorabacher, Anal. Chem., 1991, 63, 139, DOI:
10.1021/ac00002a010. Copyright 1991 American Chemical Society.
Transcribed Image Text:Critical Values for the Rejection Quotient, Q* Number of Observations 3 4 Qarit (Reject if Q> Qcrit) 90% Confidence 95% Confidence 99% Confidence 0.941 0.970 0.994 0.765 0.829 0.926 5 0.642 0.710 0.821 6 0.560 0.625 0.740 7 0.507 0.568 0.680 8 0.468 0.526 0.634 9 0.437 0.493 0.598 10 0.412 0.466 0.568 *Reprinted (adapted) with permission from D. B. Rorabacher, Anal. Chem., 1991, 63, 139, DOI: 10.1021/ac00002a010. Copyright 1991 American Chemical Society.
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