Question

Ben 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 16 obituaries from newspapers from rural towns in Idaho give x¯=80.92 and ?=1.47. 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 ?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)
?0:  
??:

(b) Find the test statistic, t =  

(c) Answer the question: Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (Use a 10% level of significance)
(Type: Yes or No)

Answer 1

Soluation! given that : n= 16 x=80.92 82 1.471 of State the null and altesnative hypothes 18- - Ho! ll < 7 7 vs Hill 777 I b] The test Statistic - t = - E x-ul Sim 80.92 -77 1:47/ a 3.92 0:37 S Ł = 10:59/ c I one tail test. doilo it is di F = (nola 15 I ta, n-1 = 1.347 Cor decision? £ 7 tap if Reject Hon. 10:59 > 134 Reject Null hypothesis : I f we Yes that live this people longe & sample provide sufficient evidence living in rekel daho communities than 77 years