(1 point) The time needed for college students to complete a certain paper-and-pencil maze follows a normal distribution with a mean of 30 seconds and a standard deviation of 2.3 seconds. You wish to see if the mean time # is changed by vigorous exercise, so you have a group of 25 college students exercise vigorously for 30 minutes and then complete the maze. It takes them an average of x = 27.1 seconds to complete the maze. Use this information to test the hypotheses Ho : H = 30 Ha : H # 30 Conduct a test using a significance level of a = 0.01. (a) The test statistic (b) The positive critical value, z* = (c) The final conclusion is O A. We can reject the null hypothesis that / = 30 and accept that # # 30. OB. There is not sufficient evidence to reject the null hypothesis that / = 30.(1 point) Ben thinks that people living in a rural environment have a healthier lifestyle than other people. He believes the average lifespan in the USA is 77 years. A random sample of 18 obituaries from newspapers from rural towns in Idaho give x = 81.69 and s = 1.54. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (a) State the null and alternative hypotheses: (Type "mu" for the symbol # , e.g. mu >1 for the mean is greater than 1, mu