Question

olo 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 greater than 15 points? Let pl, represent the mean score after the class and d = H, -Hz. Use the a=0.01 level and the P-value method with the TI-84 Plus calculator. Score Before 435 453 526 After 482 479 451 431 454 463 511 529 493 466 447 440 439 451 491 473 440 Send data to Excel Part 1 of 4 (a) State the appropriate null and alternate hypotheses. H: MA 15 H: My > 15 This is a right-tailed test. Part: 1/4 Part 2 of 4 (b) Compute the P-value. Round the answer to at least four decimal places. P-value - 0.8869

Answer 1

a) The null and alternative hypothes is is, Ho lld = 15 us Hield > 15 This is 9 right -tailed test- The test statistic is, đ S4/01 t = (-nايم 16.4 tg c 16.18 18/11 ita = 3.66 b) p-value = f[t> 3.66] = 0.0026 Decision: Reject Ho at d=0.01 (since p-value=0.0026 <0.01(&)) conclusion: he conclude that the mean increase in scores is greater than 15 points.