Suppose that in the town of Springfield RI the number of days per year with no measurable precipitation is approximately normally distributed with a mean of 79 2 days and a standard deviation of 6 3 days Ms Johnson who lives on a farm just outside of Springfield wonders if the mean number of days with no measurable precipitation on her farm is different from in town Her grandfather maintained meticulous weather records She obtains a simple random sample of six years from her grandfather s records and determines that the mean number of days with no measurable precipitation in those years was 78 7 days She plans to conduct a one sample z test assuming that the standard deviation of days with no measurable precipitation is the same at the farm as in town Choose the appropriate null and alternative hypotheses for such a test Ho H