e points) An thinks that there is a dferene in quality of lie etween rual and ur

Question

e points) An thinks that there is a dferene in quality of lie etween rual and urban lving She cllects information from urban and rural towns in Idaho to see if there is a difference in life expectancy A ms srp e of 19 people from rural to ns g've alife expectancy of7.3 years with a standard deviation of 8, 666 years. A sample of 8 people from larger towns gve 68.6 years and 8-6.71 years Does th s provide evidence that people living in rural Idaho communities have different life expectancy than those in more urban a 10% level of significance. Assume the populations are normal a State the null and alternative hypotheses: (Type "mu r" for the symbol eg mer mts ts not = 0 for the means are not equal, ma r n muu > 0 for the rural mean is larger, mur-mit-u

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(with pooled variances)

Hypothesis test results:

Hence,

a) Ho: mu_r - mu_u = 0

Ha: mu_r - mu_u not = 0

b) Degrees of freedom = 25

c) Test statistic = 0.9599

d) Option B is correct.

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 2.7 2.8128641 25 0.95987574 0.3463

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