Question

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 10 obituaries from newspapers from rural towns in Idaho give x¯=77.66x¯=77.66 and s=1.7s=1.7. 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 μμ , 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)
H0H0 :
HAHA :

(b) Find the test statistic, t =

Answer 1

a)

In this example we need to test whether the people living in rural Idaho communities live longer than 77 years.

So the null and alternate hypothesis would be

Ho: mu =75

Ha: mu >75

b)

given

The test statistic is given by

  

  

Hence the t statistic is equal to 4.948.

Thank you !!!