Question 4 A study was carried out to determine whether the resistance of the control circuits in a machine are lower when the machine motor is running. To investigate this question, a set of the control circuits was tested as follows. Their resistance was measured while the machine motor was not running for a certain period of time and then again Page 4 while the motor was running. The values found are listed in worksheet ‘Dataset4’, with kilo-Ohms as the unit of measurement. 1. 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. 2. Explain how the order of subtraction chosen to calculate the differences will influence the structure of the test. 3. Give a reason why the data is measured with the engine not running first and then with the engine running. 4. Explain how knowing the mean of the differences in advance will influence the structure of your statistical test. 5. Carry out the statistical test and state your conclusions Motor running Motor not running 13.74 13.07 13.40 12.65 13.22 12.57 13.54 12.85 13.62 13.08 13.58 12.97 13.30 12.86 13.00 12.60 13.24 13.01 13.44 13.32 13.80 13.64 13.46 13.39 13.16 13.25 13.46 13.71 13.16 13.48 13.00 13.16 13.20 13.19 13.12 13.08 13.34 13.40 13.34 13.50
Question 4
A study was carried out to determine whether the resistance of the
control circuits in a machine are lower when the machine motor is
running. To investigate this question, a set of the control circuits was
tested as follows. Their resistance was measured while the machine
motor was not running for a certain period of time and then again
Page 4
while the motor was running. The values found are listed in worksheet
‘Dataset4’, with kilo-Ohms as the unit of measurement.
1. 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.
2. Explain how the order of subtraction chosen to calculate the differences will influence the structure of the test.
3. Give a reason why the data is measured with the engine not running first and then with the engine running.
4. Explain how knowing the mean of the differences in advance will
influence the structure of your statistical test.
5. Carry out the statistical test and state your conclusions
Motor running | Motor not running |
13.74 | 13.07 |
13.40 | 12.65 |
13.22 | 12.57 |
13.54 | 12.85 |
13.62 | 13.08 |
13.58 | 12.97 |
13.30 | 12.86 |
13.00 | 12.60 |
13.24 | 13.01 |
13.44 | 13.32 |
13.80 | 13.64 |
13.46 | 13.39 |
13.16 | 13.25 |
13.46 | 13.71 |
13.16 | 13.48 |
13.00 | 13.16 |
13.20 | 13.19 |
13.12 | 13.08 |
13.34 | 13.40 |
13.34 | 13.50 |
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