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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. (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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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.

(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

annual trip frequencies to the nearest state park: where the subscript 1' denotes the white population and the subscript '2' denotes the 7. A survey of the white and nonwhite population in a local area reveals the following I = 4.1, = 3.1, s = 14.3, s3= 12.0, n, = 20 ng = 16 nonwhite population. . Assume that the variances are equal, and test the null hypothesis that there is no difference between the park-going frequencies of whites and nonwhites. b. Repeat the exercise, assuming that the variances are unequal. G. 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 n, = 24 and n, = 12. Test the bynotheeis
Transcribed Image Text:annual trip frequencies to the nearest state park: where the subscript 1' denotes the white population and the subscript '2' denotes the 7. A survey of the white and nonwhite population in a local area reveals the following I = 4.1, = 3.1, s = 14.3, s3= 12.0, n, = 20 ng = 16 nonwhite population. . Assume that the variances are equal, and test the null hypothesis that there is no difference between the park-going frequencies of whites and nonwhites. b. Repeat the exercise, assuming that the variances are unequal. G. 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 n, = 24 and n, = 12. Test the bynotheeis
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