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 Let µ1 - µ2 = mean score based on the New Method - mean score based on the Standard Method. Test at 1% level of significance that the new method is worse than the old method, i.e., the average score obtained by the new method is less than the average score obtained by the standard method. The setup of the null and alternative hypotheses for this test is

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What is the setup of the null and alternative hypotheses for this test?

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
Let µ1 - µ2 = mean score based on the New Method - mean score based on the Standard Method.
Test at 1% level of significance that the new method is worse than the old method, i.e., the average
score obtained by the new method is less than the average score obtained by the standard method.
The setup of the null and alternative hypotheses for this test is
Transcribed Image Text: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 Let µ1 - µ2 = mean score based on the New Method - mean score based on the Standard Method. Test at 1% level of significance that the new method is worse than the old method, i.e., the average score obtained by the new method is less than the average score obtained by the standard method. The setup of the null and alternative hypotheses for this test is
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