2. A business school wants to compare a new method of teaching reading to slow learners to the current standard method. They decide to base this comparison on the results of a reading test given at the end of a learning period of six months. Of a random sample of 11 slow learners, 5 are taught by the new method and 6 are taught by the standard method. All 11 children are taught by qualified instructors under similar conditions for a six month period. Assume that the populations are normally distributed and the population variances are equal. New Method Score: 81 80 79 81 76 Standard Method Score: 69 68 71 68 73 72 Test at 1% level of significance that the new method is worse than the old method, i.e., average score obtained by the new method is less than the average score obtained by the standard method.

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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Question

a) write down the formula of the test statistic and find its value.

b) Determine the rejection region and make a decision.

c) Make a conclusion in the context of the problem.

2. A business school wants to compare a new method of teaching reading to slow learners to the
current standard method. They decide to base this comparison on the results of a reading test
given at the end of a learning period of six months. Of a random sample of 11 slow learners, 5 are
taught by the new method and 6 are taught by the standard method. All 11 children are taught by
qualified instructors under similar conditions for a six month period. Assume that the populations
are normally distributed and the population variances are equal.
New Method Score:
81 80 79 81 76
Standard Method Score: 69 68 71 68 73 72
Test at 1% level of significance that the new method is worse than the old method, i.e., average
score obtained by the new method is less than the average score obtained by the standard method.
Transcribed Image Text:2. A business school wants to compare a new method of teaching reading to slow learners to the current standard method. They decide to base this comparison on the results of a reading test given at the end of a learning period of six months. Of a random sample of 11 slow learners, 5 are taught by the new method and 6 are taught by the standard method. All 11 children are taught by qualified instructors under similar conditions for a six month period. Assume that the populations are normally distributed and the population variances are equal. New Method Score: 81 80 79 81 76 Standard Method Score: 69 68 71 68 73 72 Test at 1% level of significance that the new method is worse than the old method, i.e., average score obtained by the new method is less than the average score obtained by the standard method.
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