9.4, 9.5 Hypothesis Testing
Problem 1
Jaidyn thinks that people living in a rural environment have a healthier lifestyle than other people. He thinks that the average lifespan in the USA is 77 years. A random sample of 14 obituaries from newspapers from rural towns in Massachusetts give [latex]\bar{x}[/latex] = 81.09 and s = 0.91. Does this sample provide evidence that people living in rural communities live longer than 77 years?
a. State the null and alternative hypotheses: (Type “mu” for the symbol µ, 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 =
c. To a 10% level of significance, does this sample provide evidence that people living in rural communities live longer than 77 years. [Yes/No]
Correct Answers
a. mu = 77; mu > 77
b. [latex]\frac{81.09-77}{\frac{0.91}{\sqrt{14}}}[/latex]
c. Yes
