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) ?0H0 : ??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
Lois 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 20 obituaries from newspapers from rural towns in Idaho give ?¯=81.65x¯=81.65 and ?=2.89s=2.89. 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
?0H0 :
??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)
Given that
Sample size n = 20
Sample mean = 81.65
Sample SD = 2.89
Level of significance = 10% = 0.1
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