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
(b) Find the test statistic, t =
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
The test statistic is given by
Hence the t statistic is equal to 4.948.
Thank you !!!
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