Case Study 1 It is believed that children can throw a ball further after lunch than before lunch. A researcher decided to investigate this hypothesis using the paired-sample sign test. Each of 14 children threw a ball as far as they could before and after lunch. The distances in meters are tabulated below. Subject Before lunch After lunch 1 2 3 4 5 6 23 29 28 28 29 40 26 35 34 25 35 37 7 8 9 10 11 19 23 2856 19 22 26 34 34 65 6522 12 13 14 40 28 28 37 25 34 Test the researcher's hypothesis at a = 0.05 1) State the hypotheses and identify the claim. 2) Find the critical value (C. V.). 3) Find the test value (T. V.). 4) Make the decision. 5) Summarize the results (3 pt) (3 pt) (1 pt) (1 pt) (1 pt) Case study 2 The following data was collected as part of a study examining whether there is a difference between the number of hours men and women watch television. The values represent the number of hours a subject watched television on a designated Monday night. Lower values rank ahead of higher ones. Men Women 2.0 2.0 1.5 2.5 3.0 1.0 2.5 1.0 2.0 1.5 1.0 2.5 0.0 2.0 2.0 1.0 1.5 2.0 2.5 2.0 2.0 1.5 1.0 0.0 Calculate the: 1) HR 2) OR 3) and the z test value for the Wilconox rank sum test (3 pt) (3 pt) (3 pt)