An article reported the following data on oxygen consumption (mL/kg/min) for a sample of ten firefighters performing a fire-suppression simulation: 29.2 49.5 30.8 28.2 28.5 25.5 33.5 29.0 23.6 30.0 Compute the following. (Round your answers to four decimal places.) The sample range The sample variance s^2 from the definition (i.e., by first computing deviations, then squaring them, etc.) The sample standard deviation s^2 using the shortcut method

Suppose that we observe samples of a known function g(t) = to with unknown amplitude 0 at (known) arbitrary locations t1, ..., ty, and these samples are corrupted by Gaussian noise. That is, we observe the sequence of random variables Xn = 0tn + Zn, n=1, . .., N where the Zn are independent and Zn ~ Normal (0, 02) (a) Given X1 = $1, ...; XN = EN, compute the log likelihood function e (0; 21, . ..,XN) = log fx1,.. .,XN (21, . . ., XN; 0) = log (fx, (x1; 0) fx2 (2; 0) . . . fXN (IN;0)) Note that the Xn are independent (as the last equality is suggesting) but not identically distributed (they have different means). [9pts] (b) Compute the MLE for 0. [6pts]An article reported the following data on oxygen consumption (mL/kg/min) for a sample of ten firefighters performing a fire suppression simulation: 29.5 49.1 30.0 29.0 28.6 26.3 33.9 29.9 23.4 31.2 Compute the following. (Round your answers to four decimal places.) (a) The sample range 25.7 mL/kg/min (b) The sample variance s from the definition (i.e., by first computing deviations, then squaring them, etc.) 49.3 X ML2/kg2/min2 (c) The sample standard deviation 7.02 X mL/kg/min (d) s using the shortcut method 49.3 X mL2/kg2/min2 Need Help? Read It Talk to a Tutor