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 7777 years and the lifespans follow an approximately normal distribution. A random sample of 19 obituaries from newspapers from rural towns in Idaho give ?¯=78.63x¯=78.63 and ?=1.72s=1.72. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years?
(a) Using the 1% significance level, perform a hypothesis test.
(b) What is the probability of making Type I error?
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