Set up the structure of an appropriate statistical test to determine whether the resistance of the control circuit in a machine are lower when the machine motor is running. Explain how the order of subtraction chosen to calculate the differences will influence the structure of the test. Give a reason why the data is measured with the engine not running first and then with the engine running. Explain how knowing the mean of the differences in advance will influence the structure of your statistical test. Carry out the statistical test and state your conclusions.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Set up the structure of an appropriate statistical test to determine
whether the resistance of the control circuit in a machine are
lower when the machine motor is running.
Explain how the order of subtraction chosen to calculate the differences will influence the structure of the test.
Give a reason why the data is measured with the engine not running first and then with the engine running.
Explain how knowing the mean of the differences in advance will
influence the structure of your statistical test.
Carry out the statistical test and state your conclusions.

Resistance:
Motor running
15.78
15.74
15.54
16.00
15.56
15.30
14.86
14.56
14.96
15.14
15.36
14.92
14.80
14.38
14.00
14.30
14.06
14.40
15.56
15.56
Motor not running
14.83
14.94
14.62
15.25
14.83
14.38
14.16
13.82
14.44
14.46
14.73
14.47
14.42
14.12
13.53
13.87
13.61
13.77
15.00
14.94
Transcribed Image Text:Resistance: Motor running 15.78 15.74 15.54 16.00 15.56 15.30 14.86 14.56 14.96 15.14 15.36 14.92 14.80 14.38 14.00 14.30 14.06 14.40 15.56 15.56 Motor not running 14.83 14.94 14.62 15.25 14.83 14.38 14.16 13.82 14.44 14.46 14.73 14.47 14.42 14.12 13.53 13.87 13.61 13.77 15.00 14.94
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