1 Calculate the mean and standard deviation of the following sets of numbers 2 points each a 1 7 8 9 11 13 15 16 22 b 4 5 6 6 6

Question

1 Calculate the mean and standard deviation of the following sets of numbers 2 points each a 1 7 8 9 11 13 15 16 22 b 4 5 6 6 6 7 7 8 c 1 1 1 1 0 8 0 5 0 2 0 1 0 2 0 5 0 5 2 Using the student s t distribution and assuming a 95 confidence interval what is the statistical uncertainty in the mean value calculated for set a 2 points 3 Using Gaussian statistics and assuming a 95 confidence interval what is the statistical uncertainty in the mean value calculated for set a 2 points 4 You need to measure power across a resistor and have chosen to calculate the power using the measured resistance of your resistor and the measured voltage across said resistor If you measure the voltage as 5 3 V 0 15 V and the resistance of the resistor is measured with a Wheatstone bridge as 1 4 km2 0 3 k2 what is the resulting uncertainty in power Could you decrease your uncertainty if you instead measured the current through the resistor with an uncertainty of 25 A Justify your answers 8 points

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