Andrew 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 9 obituaries from newspapers from rural towns in Idaho give xˉ=78.86 and s=1.51. 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 μ, e.g. mu>1 for the mean is greater than 1 , mu <1 for the mean is less than 1 , mu not =1 for the mean is not equal to 1 ) H0​ : Ha​ : (b) Find the test statistic, t= (c) Answer the question: Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years?