1. What is stated in the null versus in the alternative hypothesis? What notation is used for each? 2. Assume you have a measure of the time it takes to complete a statistics homework. The population on which you are focusing takes an average of u = 80 minutes. Now consider an experiment in which you are treating an experimental group to reduce the amount of time it takes to complete a homework. State the null and alternative hypothesis that go with the prediction that your treatment will reduce the time from the original mean of 80 minutes. 3. Now consider a second situation in which you are giving training to students who are doing statistics homework. Assume you are trying a new training method that is less expensive to implement than the ones that have been used in the past. You are not sure whether the training method changes the amount of time it takes to complete the homework (Situation 2). State the null and alternative hypotheses that go with the description of Situation 2. 4. Explain the difference between one- and two-tailed hypotheses. In question 2 above, are the hypotheses one-tailed or two-tailed? 5. For the research problem in question 2 above, diagram the appropriate null sampling distribution. Be sure to include the critical value(s) and region(s) of rejection. Use a = .05 for your diagram. Then repeat the diagram for the research problem in question 3 above. 6. Verbally define each of the following: (a) critical value, (b) region of rejection, (c) level of significance, (d) type 1 error, (e) type 2 error.