Change in Study Design or Results The t statistic A decrease in the obtained difference (M – µ) An increase in the sample size (n) A switch from using a two-tailed test to a one-tailed test A decrease in the sample variance (s?)

MATLAB: An Introduction with Applications
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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 at 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 decrease in the obtained difference (M - H)
An increase in the sample size (n)
A switch from using a two-tailed test to a one-tailed test
A decrease in the sample variance (s?)
Transcribed Image Text:Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown by calculating at 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 decrease in the obtained difference (M - H) An increase in the sample size (n) A switch from using a two-tailed test to a one-tailed test A decrease in the sample variance (s?)
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