Question: A sample of 32 students took a class designed to improve their SAT math scores. Following are their scores before and after the class. a.

A sample of 32 students took a class designed to improve their SAT math scores. Following are their scores before and after the class. Before After Before After 383 420 394 430 334 368 513 525

a. Construct a 95% confidence interval for the mean increase in scores after the class.

b. The class instructor claims that the mean increase is greater than 20 points. Does the confidence interval contradict this claim?

Before After Before After 383 420 394 430 334 368 513 525 378 396 483 482 467 488 447 482 470 489 440 479 473 473 439 451 443 448 435 431 459 473 451 454 426 428 453 463 493 525 491 511 382 382 526 529 473 474 473 493 408 407 440 466 433 434 481 482 478 490 459 455 502 508 399 404

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