Katie thinks that people living in a rural environment have a healthier lifestyle than other people. She believes the average lifespan in the USA is 77 years. A random sample of 8 obituaries from newspapers from rural towns in Idaho give x¯=80.82 and s=2.01. 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? YES or NO?

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Katie thinks that people living in a rural environment have a healthier lifestyle than other people. She believes the average lifespan in the USA is 77 years. A random sample of 8 obituaries from newspapers from rural towns in Idaho give x¯=80.82 and s=2.01. 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? YES or NO?

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