Since the Confidence Intervals (CI) are the duals of tests of hypothesis, one may use CI for testing too. Therefore, as an alternative to direct test of hypothesis, one may use a two-sided or one-sided confidence interval to test a hypothesis with a two-sided or one sided alternative hypothesis, respectively. In this approach if the confidence interval with a desirable confidence level contains the null hypothesis value, then one might not reject the null hypothesis.
Test of Hypothesis for a
H0: Variation is about the claimed value.
Ha: The variation is less than the claimed value; indicating the statistical quality is better than expected.
Enter your up-to-80 sample data, and the claimed population variance, and then click the Calculate button. Blank boxes are not included in the calculations but zeros are.
In entering your data to move from cell to cell in the data-matrix use the Tab key not arrow or enter keys.
To edit your data, including add/change/delete, you do not have to click on the "clear" button, and re-enter your data all over again. You may simply add a number to any blank cell, change a number to another in the same cell, or delete a number from a cell. After editing, then click the "calculate" button.
Test of Hypotheses by Confidence Interval:
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Professor Hossein Arsham
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