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 !!!

Lois thinks that people living in a rural environment have a
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lifespan in the USA is 77 years. A random sample of 19 obituaries
from newspapers from rural towns in Idaho give x¯=77.58x¯=77.58 and
s=1.69s=1.69. 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
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