Anew approach for teaching mathematics was introduced that engages students in g
ID: 3070496 • Letter: A
Question
Anew approach for teaching mathematics was introduced that engages students in group investigations and mathematical modeling. After field tests in 36 high schocls over a three-year period, researchers compared the performances the new approach students with those taught using a traditional curiculum. During the study, students in both classes that used the new approach and tracitional classes took a Algebra test that did not allow them to use calculators. The accompanying table shows the results. Are the mean scores omplete parts a through c below. of the two groups significantly different? C Click the icon to view the results. a write appropriate hypotheses. Let be be the mean A gebra test score for students in classes that use the new approach. Let be be the mean A gebra test score for students in traditional classes. hoose 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. OA. If the means for the two classes are actually unequal, there is more than a 1 in 10,000 chance of secing a difference as large as or larger than the observed difference just from natural sampling variation. O B. There is less than a 1 in 10,000 chance that these results are incorrect and they should be accepted as true. 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. On average, students who leam in te 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. C B. Students who learn in the tradition method will always perform better on Algebra tests that do not allow the use calculators than students who are in the new class. C. On average. students who leam in the new class method do significantiy better on Algebra tests that do not allow them to use calculators than students who leam by traditional methods. D. On average, students who leam in the new class method do significantiy worse on Algebra tests that do not allow them to use calculators than students who learn by traditional methods. Algebra test results Math Program Mean SD New approach 312 29.0 8.8 Traditional 265 38.4 16.2 Computer output 2-Sample t-Test of 1-2+0 Click to select your answer. t-Statistic=-6.451 w/574-8761 df PExplanation / Answer
a)
H0: muN - muT = 0
Ha: muN - muT not equals to 0
Option C
b)
If the means for the two classes are actually equal, there is less than a 1 in 10000 chance of seeing a difference as large as or larger than the observed difference
Option C
c)
Performance of students with new class methods is worse than one with traditional methods
Option D