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 is less than 15 points? Let u, represent the mean score after the class and p=H,-u. Use the a = 0.05 level and the P-value method with the TI-84 Plus calculator. Score Before 408 513 483 447 440 439 435 451 453 491 After 407 525 482 482 479 451 431 454 463 511 Send data to Excel Part 1 of 4 (a) State the appropriate null and alternate hypotheses. = 15 HH + 15 This is a two-tailed test. Part: 1/4 Part 2 of 4 (b) Compute the P-value. Round the answer to at least four decimal places.

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