A survey of the white and nonwhite population in a local area reveals the following annual trip frequencies to the nearest state park: X̄1 = 4.1 X̄2= 3.1 s21 = 14.3 s22= 12.0 N1= 20 N2= 16 Where the subscript '1' denotes the white population and the dubscript '2' denotes the nonwhite population. (a) assume the variances are equal, and test the null hypothesis that there is no difference between the park-going frequences of whites and nonwhites (b) repeat the exercise, assuming that the variances are unequal (c) Find the p-value associated with the tests in parts (a) and (b) (d) Associated with the test in part (a), find a 95% confidence interval for the difference in means (e) repeat parts a-d, assuming sample sizes of n1= 24 and n2= 12
A survey of the white and nonwhite population in a local area reveals the following annual trip frequencies to the nearest state park:
X̄1 = 4.1
X̄2= 3.1
s21 = 14.3
s22= 12.0
N1= 20
N2= 16
Where the subscript '1' denotes the white population and the dubscript '2' denotes the nonwhite population.
(a) assume the variances are equal, and test the null hypothesis that there is no difference between the park-going frequences of whites and nonwhites
(b) repeat the exercise, assuming that the variances are unequal
(c) Find the p-value associated with the tests in parts (a) and (b)
(d) Associated with the test in part (a), find a 95% confidence interval for the difference in means
(e) repeat parts a-d, assuming sample sizes of n1= 24 and n2= 12
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