Katie thinks that people Iving in a rural environment have a healthier Ifestyle than other people She believes the average Ifespan in the USA is 77 years. A random sample of 10 obituanes from newspapers from rural towns in ldaho give x=77.99 and s=1. Does this sample provide evidence that people Iving in rural Idaho communities live longer than 77 years? (a) State the null and ailernative hypotheses: (Type "mu" for the symbol , eg 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 iving in rural ldano communities live longer than 77 years? (Use a 10% vevel ot signifcance) (Type Yes or No).