SOLUTION: 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 16

Question 1197852: 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 16 obituaries from newspapers from rural towns in Idaho give 𝑥¯=80.38 and 𝑠=1.16 s=1.16. Does this sample provide evidence that people living in rural
Idaho communities live longer than 77 years?
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? (Use a 10% level of significance)
(Type: Yes or No)
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
n = 16, x̄ = 80.38, s = 1.16

Ho: µ = 77 claim
Ha: µ > 77
10% level of significance, one-sided: critical value = 1.341
t = (80.38 - 77)/ (1.16/4) = 11.655
11.655 > 1.341, Reject Ho.
Sample provides evidence that people living in rural Idaho communities
live longer than 77 years
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