Answered: The following sample was obtained from…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following sample was obtained from a population with unknown parameters.
Scores: 5, 1, 2, 6, 2, 2, 4
a. Compute the sample mean and standard deviation (show all steps and formulas).
b. Compute the estimated standard error of M. (show all steps and formulas).
Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of all answers above.

Expert Solution

Step 1

(a) Sample mean = $\sum_{i = 1}^{7} \frac{x_{i}}{n} = \frac{5 + 1 + 2 + 6 + 2 + 2 + 4}{7} = 3.142$

(b) Standard deviation = $\sum_{i = 1}^{7} \frac{{x^{2}}_{i}}{n} - {(x)}^{2} = \frac{90}{7} - {(3.142)}^{2} = 2.9849$

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