A random sample of students who took the GRE twice found 27 who were coached between tries and 33 who were uncoached. The coached group saw an average improvement of 49 points, with s1 = 59. The uncoached group saw an average improvement of 21 points, with s2 = 52. Is this proof that students who receive coaching see a greater improvement on their second GRE attempt than those who don’t? Use a 0.10 level of signicance.(a) What are the appropriate assumptions for a two-sample hypothesis teston means and are they met?(b) Give the null and alternative hypotheses.(c) What is the test statistic?(d) What is the P-value?(e) Write a brief summary of your conclusion.
A random sample of students who took the GRE twice found 27 who were coached between tries and 33 who were uncoached. The coached group saw an average improvement of 49 points, with s1 = 59. The uncoached group saw an average improvement of 21 points, with s2 = 52. Is this proof that students who receive coaching see a greater improvement on their second GRE attempt than those who don’t? Use a 0.10 level of signicance.(a) What are the appropriate assumptions for a two-sample hypothesis teston means and are they met?(b) Give the null and alternative hypotheses.(c) What is the test statistic?(d) What is the P-value?(e) Write a brief summary of your conclusion.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A random sample of students who took the GRE twice found 27 who were coached between tries and 33 who were uncoached. The coached group saw an average improvement of 49 points, with s1 = 59. The uncoached group saw an average improvement of 21 points, with s2 = 52. Is this proof that students who receive coaching see a greater improvement on their second GRE attempt than those who don’t? Use a 0.10 level of signicance.
(a) What are the appropriate assumptions for a two-sample hypothesis test
on means and are they met?
(b) Give the null and alternative hypotheses.
(c) What is the test statistic?
(d) What is the P-value?
(e) Write a brief summary of your conclusion.
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