(2 pts) 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 12
obituaries from newspapers from rural towns in Idaho give x¯=81.89
and s=1.17. Does this sample provide evidence that people living in
rural Idaho communities live longer than 77 years?
have a healthier lifestyle than other people. She believes the
average lifespan in the USA is 77 years. A random sample of 12
obituaries from newspapers from rural towns in Idaho give x¯=81.89
and s=1.17. 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)
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? (Use a 10% level of significance)
that people living in rural Idaho communities live longer than 77
years? (Use a 10% level of significance)
(Type: Yes or No)
