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In: Statistics and Probability

In the journal Mental Retardation, an article reported the results of a peer tutoring program to...

In the journal Mental Retardation, an article reported the results of a peer tutoring program to help mildly mentally retarded children learn to read. In the experiment, Form 2 of the Gates-MacGintie Reading Test was administered to both an experimental group and a control group after 6 weeks of instruction, during which the experimental group received peer tutoring and the control group did not. For the experimental group n1 = 30 children, the mean score on the vocabulary portion of the test was x1 = 368.4, with sample standard deviation s1 = 39.5. The average score on the vocabulary portion of the test for the n2 = 30 subjects in the control group was x2 = 348.6 with sample standard deviation s2 = 56.2.

(a) Use a 1% level of significance to test the claim that the experimental group performed better than the control group.

(b) What is the level of significance?

(c)What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Round your answer to three decimal places.)

(d) Find a 98% confidence interval for μ1 − μ2. (Round your answers to two decimal places.)

lower limit ?
upper limit ?

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