2. Perform the following hypothesis tests and indicate whether you would accept or reject Ho in each case. a) WHO is examining life expectancy in a country. Historical data for the population shows a population mean life expectancy of 55.3 years, and with a population standard deviation of 4.48 years. A recent sample of 75 people produced a sample mean of 62.8 years and a sample standard deviation of 2.94 years. Evaluate Ho: u s 55.3 and HA: u > 55.3 at a .01 level of significance. b) A medical research team at the Johns Hopkins University is investigating the effectiveness of a new medical treatment for a rare disease. Data indicates that under the current treatment, patients have a mean white blood cell count of 23 cells/cc (cubic centimeter). This distribution is understood to be normally distributed, but the population standard deviation is not known. The new treatment will only be deemed effective if it significantly increases the patient's white blood cell count above 23 cells/cc. The team has applied the treatment to a random sample of 10 patients. They have reported the following blood cell counts: 21, 25, 18, 24, 19, 25, 22, 20, 27, 25 At a = .10, is the new treatment effective