Find the standard deviation of the estimate

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Reference no: EM131009250

1. The period T of a simple pendulum is given by T = 2π √L/g, where L is the length of the pendulum and g is the acceleration due to gravity. Assume g = 9.80 m/s2 exactly, and L is measured to be 0.742 m with a standard deviation of 0.005 m. Estimate T , and find the standard deviation of the estimate.

2. The pressure P, temperature T , and volume V of one mole of an ideal gas are related by the equa- tion T = 0.1203 PV , when P is measured in kilopascals, T is measured in kelvins, and V is measured in liters.

a. Assume that P is measured to be 242.52 kPa with a standard deviation of 0.03 kPa and V is measured to be 10.103 L with a standard deviation of 0.002 L. Estimate T , and find the standard deviation of the estimate.

b. Which would provide a greater reduction in the standard deviation of T : reducing the standard deviation of P to 0.01 kPa or reducing the standard deviation of V to 0.001 L?

Reference no: EM131009250

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