stats23 - Joe and Bob are playing in the club bowling...

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Unformatted text preview: Joe and Bob are playing in the club bowling tournament. Their scores vary as they play repeatedly. Joe’s score X has the N(201, l 1) distribution, and Bob’s score Y has the N(197, 8) distribution. Their scores areindependent. Round the standard deviation of (X-Y) to four decimal places. Using that rounded number, What is the probability that Joe wimast two points higher than Bob (rounded to m decimal places)? (Remember to express your answer as a proportion.) 4. Tom and George are playing in the club golf tournament. Their scores vary as they play the course repeatedly. Tom’s score X has the N(l 1 1, 9) distribution, and George’s score Y varies from round to round according to the N(l 01, 7 « distribution). Their scores are independent. Round the standard deviation of (X- Y) to four decimal places. Using that rounded number, what is the probability that Tom’s score Will be. at least one point lower than George’s score (rounded to fo_ur decimal places)? (Remember to express your answer as a proportion.) 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 100 students and Method B in a comparable class of , 100 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(35, 15) distribution if Method A is used and the N(37, 13) distribution if Method B is used. Let us call the mean DRP score for 100 students in the A group a? . Let us call the mean DRP score for 100 students in the B group y. Round the standard deviation of (i - 35 ) to four decimal places. Using that rounded number, what is the probability that the mean score for the B group will be at least three points higher than the mean score for the A group (rounded to four decimal places)? (Remember to express your answer as a proportion.) ...
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stats23 - Joe and Bob are playing in the club bowling...

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