The null hypothesis <= 30 is to be tested. The population standard deviation is guessed to be 0.52. Type II error probabilities are to be calculated at = 30.3. a. Draw a versus chart with sample sizes 30, 40, 50, and 60. b. The test is conducted with a random sample of size 30 with an of 5%. Draw the power curve. What is the power when = 30.2? c. Draw an OC curve with n = 30 and 60; = 5%. If type II error is to be almost zero when = 30.3, is it better to go for n = 60?