The College Board reported the following mean scores for the three parts of the SAT: Critical Reading 502 Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is ? = 100. a. For a random sample of 30 test takers, what is the sampling distribution of ?̅ for scores on the Critical Reading part of the test? b. For a random sample of 60 test takers, what is the sampling distribution of ?̅ for scores on the Mathematics part of the test? c. For a random sample of 90 test takers, what is the sampling distribution of ?̅ for scores on the Writing part of the test?

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.