section_problems_9 - c) Use the results of (a) and (b) (the...

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Section Problems #9 #1) An experiment on the teaching of reading compares two methods, A and B. The response variable is the Degree of Reading Power (DRP) score. The experimenter uses Method A in a class of 26 students and Method B in a comparable class of 24 students. The classes are assigned to the teaching methods at random. Suppose that in the population of all children of this age the DRP score has the N(34, 12) distribution if Method A is used and the N(37, 11) distribution if Method B is used. a) What is the distribution of the mean DRP score x for the 26 students in the A group? (Assume that this group can be regarded as an SRS from the population of all children of this age.) (Round your answers to five decimal places if necessary.) b) What is the distribution of the mean score y for the 24 students in the B group? (Round your answers to five decimal places if necessary.)
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Unformatted text preview: c) Use the results of (a) and (b) (the numbers rounded to five decimal places), keeping in mind that x and y are independent, to find the distribution of the difference y- x between the mean scores in the two groups. (Round your answer to five decimal places if necessary.) d) What is the probability that the mean score for the B group will be at least 5 points higher than the mean score for the A group? (Round your answer to four decimal places.) from book: 5.48 (page 347) Round all answers to four decimal places if necessary. 5.52 (page 348) Round all answers to four decimal places if necessary. 5.76 (page 352) a) Round all answers to five decimal places if necessary. b) Use your rounded answers from part a. Round your final answer to five decimal places. c) Round your final answer to four decimal places....
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