**Hypothesis Testing and Degrees of Freedom**In this educational example, a researcher conducts a hypothesis test using a sample size of $ n = 20 $ with a sample mean $ M = 34 $ and a sample variance $ s^2 = 36 $ from an unknown population. The question posed is: What is the degrees of freedom ($ df $) value for the $ t $ statistic?The options provided are:- $ df = 19 $- $ df = 35 $- $ df = 21 $- $ df = 37 $**Explanation:**In statistical testing, the degrees of freedom for a single-sample t-test is calculated using the formula:\[df = n - 1\]Given that the sample size $ n = 20 $, we can determine the degrees of freedom as follows:\[df = 20 - 1 = 19\]Therefore, the correct answer is $ df = 19 $. This value is crucial for determining the critical value from the $ t $-distribution table to assess statistical significance.

Answered: A researcher conducts a hypothesis test…

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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A researcher conducts a hypothesis test uUsing a sample of n= 20 with M 34 and s = 36 from an unknown population. What is the df value for the t statistic? O df = 19 O df = 35 O df = 21 df = 37