Andrew thinks that people living in a rural environment have a healthier lifesty
ID: 3224139 • Letter: A
Question
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 77 years. A random sample of 20 obituaries from newspapers from rural towns in Idaho give x¯=79.68 and s=1.47. 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 , 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 =
Explanation / Answer
a)
H0: Mu = 77
Ha: Mu !=77
b)
t = (x¯ - Mu) / (s/sqrt(n))
=(79.68-77)/( 1.47/sqrt(20))
= 8.153
Please note that this a very high value of t resulting in rejection of null hypothesis