Homework Help is Here – Start Your Trial Now!
Math
Statistics
Researchers want to test whether an Indian child's school grades are influenced by his or her caste. They believe graders simply take 10 points off the score of a test written by a student belonging to a lower caste. In order to test this hypothesis, they obtain the scores of children of higher and lower castes, on a test on which children are generally believed to do equally well. In their sample, among the 45 children belonging to the higher castes, the average grade was 74, with a standard deviation of 12. Among the 41 children belonging to the lower castes, the average grade was 61, with a standard deviation of 11. (a) Test the hypothesis that the difference in the mean scores of children of higher castes and the children of lower castes is 10 points at 1% significance level. (b) Define a two-sided confidence interval for the difference in the means. (c) Assuming that the caste bias does not impact the variance of the grades, rerun your hypothesis. (d) Report your two-sided confidence interval for part c

Researchers want to test whether an Indian child's school grades are influenced by his or her caste. They believe graders simply take 10 points off the score of a test written by a student belonging to a lower caste. In order to test this hypothesis, they obtain the scores of children of higher and lower castes, on a test on which children are generally believed to do equally well. In their sample, among the 45 children belonging to the higher castes, the average grade was 74, with a standard deviation of 12. Among the 41 children belonging to the lower castes, the average grade was 61, with a standard deviation of 11. (a) Test the hypothesis that the difference in the mean scores of children of higher castes and the children of lower castes is 10 points at 1% significance level. (b) Define a two-sided confidence interval for the difference in the means. (c) Assuming that the caste bias does not impact the variance of the grades, rerun your hypothesis. (d) Report your two-sided confidence interval for part c

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
See similar textbooks
icon
Related questions
Question
Researchers want to test whether an Indian child's school grades are influenced by his or her caste. They believe graders simply take 10 points off the score of a test written by a student belonging to a lower caste. In order to test this hypothesis, they obtain the scores of children of higher and lower castes, on a test on which children are generally believed to do equally well. In their sample, among the 45 children belonging to the higher castes, the average grade was 74, with a standard deviation of 12. Among the 41 children belonging to the lower castes, the average grade was 61, with a standard deviation of 11. (a) Test the hypothesis that the difference in the mean scores of children of higher castes and the children of lower castes is 10 points at 1% significance level. (b) Define a two-sided confidence interval for the difference in the means. (c) Assuming that the caste bias does not impact the variance of the grades, rerun your hypothesis. (d) Report your two-sided confidence interval for part c
Transcribed Image Text:Researchers want to test whether an Indian child's school grades are influenced by his or her caste. They believe graders simply take 10 points off the score of a test written by a student belonging to a lower caste. In order to test this hypothesis, they obtain the scores of children of higher and lower castes, on a test on which children are generally believed to do equally well. In their sample, among the 45 children belonging to the higher castes, the average grade was 74, with a standard deviation of 12. Among the 41 children belonging to the lower castes, the average grade was 61, with a standard deviation of 11. (a) Test the hypothesis that the difference in the mean scores of children of higher castes and the children of lower castes is 10 points at 1% significance level. (b) Define a two-sided confidence interval for the difference in the means. (c) Assuming that the caste bias does not impact the variance of the grades, rerun your hypothesis. (d) Report your two-sided confidence interval for part c
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
SEE MORE TEXTBOOKS