7. Factors that influence a hypothesis test with thet statistic Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown by calculating at 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 thet 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 The t statistic An increase in the obtained difference (M - u) A switch from using a one-tailed test to a two-tailed test A decrease in the significance level (such as using a = .01 instead of a = .05) An increase in the sample size (n)
7. Factors that influence a hypothesis test with thet statistic Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown by calculating at 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 thet 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 The t statistic An increase in the obtained difference (M - u) A switch from using a one-tailed test to a two-tailed test A decrease in the significance level (such as using a = .01 instead of a = .05) An increase in the sample size (n)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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