20. Suppose a researcher wishes to test H0: 100 against H1: 100 using the .05...

20. Suppose a researcher wishes to test H0: μ 100 against H1: μ 100 using the .05 level of significance; however, if she obtains a sample mean far enough below 100 to suggest that H0 is unreasonable, she will switch her alternative hypothesis to H1: 100 (α .05) with the same sample data. Assume H0 to be true. What is the probability that this decision strategy will result in a Type I error? (Hint: Sketch the sampling distribution and put in the regions of rejection.)