5. Factors that affect the results of a one-sample t-test Aa Aa Suppose you cond

Question

5. Factors that affect the results of a one-sample t-test Aa Aa Suppose you conduct a one-sample t test 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 decrease in the sample variance (s2) A decrease in the obtained difference (X-) A decrease in the sample size (N) A decrease in the significance level (such as using = .01 instead of = .05) The t statistic

Explanation / Answer

1) If Sample variance will decrease then t statistic will increase because this is denominator part in calculation of test statistic

2) A decreased in difference will decrease test statistic because this is numerator part in calculation of test statistic

3) A decrease in sample size n will decrease the test statistic because this will increase standard error

4) Stay Same

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