A new approach for teaching mathematics was introduced that engages students in

Question

A new approach for teaching mathematics was introduced that engages students in group investigations and mathematical modeling. After fleld tests in 36 high schools over a three-year period, researchers compared the performances the new approach students with those taught using a traditional curriculum. During the study, students in both classes that used the new approach and traditional classes took a Algebra test that did not allow them to use calculators. The accompanying table shows the results. Are the mean scores of the two groups significanty different? Complete parts a through c below Click the loon to view the results. a write appropriate hypotheses. Let N be be the mean gebra test score for students in classes that use the new approach. Letrbe be the mean A gebra test score for students in traditional classes. Choose the correct answer below. b) Refer to the computer output for the hypothesis test. Explain what the P-value means in this context. Choose the correct answer below. O A. There is less than a 1 in 10,000 chance that these results are incormect and they should be accepted as true O B. If the means for the two classes are actually unequal, there is more than a 1 in 10,000 chance of seeing a difference as large as or larger than the observed difference just from natural sampling variation. O C. If the means for the two classes are actually equal, there is less than a 1 in 10,000 chance of seeing a difference as large as or larger than the observed difference just from natural sampling variation. c) State the conclusion of this test. A. Students who learn in the tradition method will aways perform better on Algebra tests that do not allow the use calculators than students who are in the new class. On average, students who leam in the new class method will receive a 29.0 average on Algebra tests that do not allow them to use calculators than students who learn by traditional methods. B. O C. On average, students who learm in the new class method do significantly better on Algebra tests that do not allow them to use calculators than students who leam by traditional methods 0 D. On average, students who learn in the new class method do significantly worse on Algebra tests tat do not allow them to use calculators than students who learn by traditional methods. Algebra test results McanSD 18.8 265 38.4 16.2 Math New approach 312 29.0 Traditional Computer output 2-Sample t-Test of 1-29 0 t-Statistic-6,451 w574.8761 d P

Explanation / Answer

From the given output:

a) Hypotheses: Option A is correct.

b) Option C is correct.

c) Option D is correct.

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