Suppose you conduct a t test for single samples by calculating a t_0bt statistic

Question

Suppose you conduct a t test for single samples by calculating a t_0bt statistic and determining whether to reject the null hypothesis. Assume that your t_0bt statistic is a positive value and that you will reject the null hypothesis when t_0bt 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_0bt statistic, and then select "Increases," "Decreases," or "Stays the same" from the dropdown menu in the right-hand column.

Explanation / Answer

Note that the formula for tobt is

tobt = (X - u)*sqrt(n)/s

1. DECREASE, as s is in the denominator.

2. DECREASE, as X - u is in the numerator

3. DECREASE, as n is in the numerator

4. STAYS THE SAME, as it doesn't affect tobt.

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