(1 point) Ann thinks that there is a difference in quality of life between rural

Question

(1 point) Ann thinks that there is a difference in quality of life between rural and urban living. She collects information from obituaries in newspapers from urban and rural towns in Idaho to see if there is a difference in life expectancy. A sample of 18 people from rural towns give a life expectancy of x,-68.1 years with a standard deviation of s, 6.18 years. A sample of 12 people from larger towns give 75.6 years and s9.07 years. Does this provide evidence that people living in rural Idaho communities have different life expectancy than those in more urban communities? Use a 10% level of significance. (a) State the null and alternative hypotheses: (Type "mu r" for the symbol ?, , e.g. mu r not = mk_k for the means are not equal, mu_r > mu_u for the rural mean is larger, mu_r

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

Ha: mu_r not = mu_u

b) Degrees of freedom = 28

c) Test statistic = -2.7012

d) Option A is correct.

Difference Sample Diff. Std. Err. DF T-Stat P-value ?1 - ?2 -7.5 2.7765535 28 -2.7011905 0.0116

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