Answered: Suppose you conduct 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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Question

Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown by calculating a t statistic and determining whether to reject the null hypothesis. Assume that your t statistic is a positive value and that you will reject the null hypothesis when t is very large. For each of the potential changes to the components of your study design or the results listed below, determine the change to the t statistic, and then select “Increases,” “Decreases,” or “Stays the same” from the dropdown menu in the right-hand column.

Change in Study Design or Results	The t statistic
A switch from using a two-tailed test to a one-tailed test	a. decreases. b. stays the same, c. Increases
An increase in the sample variance (s²)	a. stays the same, b. decrease, c. increase
An increase in the significance level (such as using α = .05 instead of α = .01)	a. decrease, b. stays the same, c. increases
A decrease in the sample size (n)	a. increases, b. decreases, c. stays the same