SAT coaching: A sample of  10  students took a class designed to improve their SAT math scores. Following are their scores before and after the class. Can you conclude that the mean increase in scores differs from  15  points? Let  μ1  represent the mean score after the class and  =μd−μ1μ2 Use the α=0.01 level and the P-value method with the TI-84 Plus calculator.     Score Before 513 483 447 440 439 435 451 453 491 526 After 525 482 482 479 451 431 454 463 511 529 (a) State the appropriate null and alternate hypotheses. (b) Compute the P-value

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