Suppose you conduct a hypothesis test about a population mean when the standard

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.

Explanation / Answer

as we know that t=(M-mu)/std error ; hence

a decrease in the obtained difference (M-mu) decreases

a swith from using a two tailed to a one tail test stays the same

a decrease in significance level stays the same

an increase in sample size increases.

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