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. Please solve (d) and (e) as a-c have been solved in the previous question.  (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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
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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. Please solve (d) and (e) as a-c have been solved in the previous question. 

(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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