Answered: Use hypothesis testing process. A…

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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Use hypothesis testing process.

A random sample of n = 40 individuals is obtained from a population with a mean of μ = 724. A treatment is administered to each individual in the sample and, after treatment, is measured. The average score for the treated sample is M = 732 with SS = 872. Use a 2-tailed test with a critical value at .05.

Expert Solution

Step 1

The hypothesis is,

Null hypothesis:

$H_{0} : μ = 724$

Alternative hypothesis:

$H_{a} : μ \neq 724$

The sample standard deviation is,

$\begin{array}{rcl} s & = & \sqrt{\frac{S S}{n - 1}} \\ = & \sqrt{\frac{872}{40 - 1}} \\ = & \sqrt{22.358974} \\ = & 4.7285 \end{array}$

The sample standard deviation is 4.7285.

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