1. We discussed Joe the Slow Tapper in class. The normal person taps 100 times in 20 seconds with a standard deviation of 20 The distribution is normal. Let's make the size of the critical region 20%. How slow does one have to tap before one is sent to the hospital for testing? Please give an answer that is an integer. Explain your work. 2. If it were dangerous to make Type I error would you increase or decrease the significance level? 3. With the example of Joe the Slow Tapper, what do we know about the likelihood that µ> 100? Please explain.

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