MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:# Factors that Influence a Hypothesis Test with the T Statistic
When conducting a hypothesis test about a population mean with an unknown standard deviation, the t statistic is used to decide whether to reject the null hypothesis. Assume the t statistic is a positive value and that you will reject the null hypothesis when t is very large.
For each potential change to the components of your study design or the results listed below, determine the change to the t statistic and select "Increases," "Decreases," or "Stays the same" from the dropdown menu in the right-hand column.
### Change in Study Design or Results
1. **An increase in the obtained difference (M - μ)**
2. **A switch from using a one-tailed test to a two-tailed test**
3. **A decrease in the significance level (such as using α = .01 instead of α = .05)**
4. **An increase in the sample size (n)**
Each of these changes can impact the t statistic and, consequently, the outcome of the hypothesis test.
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