Professor smith wishes to compare the performance of, Basic Statistics

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Professor smith wishes to compare the performance of

Professor Smith wishes to compare the performance of students in her class on multiple-choice and fill-in-the-blank exams. She randomly chooses half the class for each test. If each test has a standard deviation of 10, what is the probability of detecting a true difference of 5 points with a two tailed test, .05, when the sample size is

(a) 10?

(b) 25?

(d) 100?

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