Andrew thinks that people living in a rural environment have a healthier lifesty
ID: 3157027 • 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 8 obituaries from newspapers from rural towns in Idaho give x¯=81.16 and s=2.23. 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 < 1for the mean is less than 1, mu not = 1 for the mean is not equal to 1)
(b) Find the test statistic, t =
Explanation / Answer
a)
Formulating the null and alternative hypotheses,
Ho: u <= 77
Ha: u > 77 [ANSWER]
************************
b)
As we can see, this is a right tailed test.
df = n - 1 = 7
Getting the test statistic, as
X = sample mean = 81.16
uo = hypothesized mean = 77
n = sample size = 8
s = standard deviation = 2.23
Thus, t = (X - uo) * sqrt(n) / s = 5.276348358 [ANSWER]