5. Factors that influence a hypothesis test Aa Aa Suppose you conduct a hypothes

Question

5. Factors that influence a hypothesis test Aa Aa 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-says the same" from the drop down menu n the right-hand column. Change in Study Design or Results A decrease in the sample variance (s2) A decrease in the obtained difference (M-U) An increase in the sample size (n) A decrease in the significance level (such as using = .01 instead of = .05) The t statistic Increases Increases Stays the same

Explanation / Answer

A decrease in sample variance or increase in sample size causes t statistic to increase whereas a decrease in obtained difference causes it to decrease.

Hence

I) Increases

2) Decreases

3) Increases

4) Stays the same

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