Question 6.82

6.82 Impact of on significance.

The Statistical Significance applet illustrates statistical tests with a fixed level of significance for Normally distributed data with known standard deviation. Open the applet and keep the default settings for the null and the alternative hypotheses, the sample size , the standard deviation , and the significance level . In the “I have data and the observed is ” box, enter the value 1. Is the difference between and signifcant at the 5% level? Repeat for equal to 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. Make a table giving and the results of the significance tests. What do you conclude?