The College Board SAT college entrance exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the SAT follow. Two samples are dependent with matched data. Student Math Writing Student Math Writing 540 474 480 430 432 380 499 459 528 463 615 541 610 574 612 10 572 390 593 448 420 11 335 502 526 12 613 Use a 0.05 level of significance and test for a difference between the population mean for the math a. scores and the population mean for the writing scores. What is the p-value and what is your conclusion? b. What are the estimates of the population mean scores for the two tests? Which test reports the higher mean score? 1234 n6

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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.