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

Question

6. 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 "Stays the same" from the dropdown menu in the right-hand column. Change in Study Design or Results An increase in the sample variance (s2) A decrease in the obtained difference (M H) An increase in the sample size (n) A decrease in the significance level (such as using = .01 instead of = .05) The t statistic Increases

Explanation / Answer

a) Increasing the sample variance decreases the t statistic.

b) Decreasing the obtained difference decreases the t statistic.

c) Increasing the sample size increases the t statistic.

d) Decrease in the significance level do not affect the t statistic so it stays the same.

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