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.
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.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:6. Factors that influence a hypothesis test with the t statistic
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
A switch from using a one-tailed test to a two-tailed test
An increase in the sample standard deviation (s)
A decrease in the significance level (such as using a = .01 instead of a = .05)
A decrease in the sample size (n)
The t statistic
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