Set up and show all steps as we have done in class for full credit. For hypothesis tests show the null and alternative hypothesis - the assignment of the claim, the distribution with the rejection and failure to reject regions, the p-value (if appropriate) the test statistic and the three-part conclusion.

b. For all other types of problems show all work and/or write down your calculator steps.

1. Why do statisticians use 95% as the level of confidence if none is given?Another way to think about this question is how does the empirical rule imply this level of confidence?

2. What is the default level of significance and how is this connected to the empirical rule?

3. Describe the levels of measurement.