HP 12C#ABA hp 12c_solutions handbook_English_E.pdf - Page 107
Standard Error of the Mean
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levels of the Tower of Pisa (which was leaning even then) and timed its descent by counting his pulse. The following data are measurements Galileo might have made. t (pulses) h (feet) 2 2.5 3.5 4 4.5 30 50 90 130 150 Find the power curve formulas that best expresses h as a function of t (h = AtB). Keystrokes Display CLEAR 30 1.00 First pair data input. 2 50 2.00 Second pair data input. 2.5 90 3.00 Third pair data input. 3.5 130 4.00 Fourth pair data input. 4 150 5.00 Fifth pair data input. 4.5 1.00 Correlation coefficient (between In y and ln x). 0 7.72 Value of A. 1 0 1.99 Value of B. The formula that best expresses h as a function of t is h = 7.72t1.99 We know, as Galileo did not, that in fact h is proportional to t2. Standard Error of the Mean The standard error of the mean is a measure of how reliable the mean of a sample (X) is as an estimator of the mean of the population from which the sample was drawn. To calculate the standard error of the mean: 106