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. **Comparison of Teaching Methods for Reading**A business school is conducting an experiment to compare a new method of teaching reading to slow learners with the current standard method. This comparison is based on the results of a reading test given at the end of a six-month learning period. In the study:- A random sample of 11 slow learners is chosen.- 5 students are taught using the new method.- 6 students are taught using the standard method.All participants are instructed by qualified teachers under similar conditions for the duration of six months. It is assumed that the populations follow a normal distribution and that the population variances are equal.**Scores:**- **New Method Score:** - 81, 80, 79, 81, 76- **Standard Method Score:** - 69, 68, 71, 68, 73, 72**Statistical Test:**The study involves conducting a hypothesis test at a 1% level of significance. The aim is to determine if the new method is inferior to the old method. Specifically, the test evaluates whether the average score obtained through the new method is less than the average score obtained through the standard method.

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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.

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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 3SE: What is an experiment?

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Randomization is one of the basic principles of Design of Experiments (DOE). Explain what randomization is and give an example of randomization.