new approach for teaching mathematics was i over a three-year period, researcher
ID: 3307372 • Letter: N
Question
new approach for teaching mathematics was i over a three-year period, researchers compared the performances the new approach students with those taught using a traditional curriculum. During the stu students in both classes that used the new approach a shows the results. Are the mean scores of the two groups significantly different? Complete parts a through c below that engages students in group investigations and mathematical modeling. After field tests in 36 high schools traditional classes took a Algebra test that did not allow them to use calculators. The accompanying table Click the icon to view the results a) Write appropriate hypotheses. Let N be be the mean Algebra test score for students in classes that use the new approach. Let ,be be the mean Algebra 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. ( A. 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 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 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. c) State the conclusion of this test. O A. On average, students who learn in the new class method will receive a 29.0 average on Algebra tests that do not allow them to use calculators than students B. On average, students who learn in the new class method do significantly worse on Algebra tests that do not allow them to use calculators than students who ° C. 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 O D. On average, students who learn in the new class method do significantly better on Algebra tests that do not allow them to use calculators than students who who learn by traditional methods learn by traditional methods class learn by traditional methodsExplanation / Answer
(a)
Below are the null and alternate hypothesis
H0: mu(N) - mu(T) = 0
H1: mu(N) - mu(T) not equal to 0
Option (C) is correct.
(b)
There is less than a 1 in 10,000 chance that these results are incorrect and they should be acccepted as true.
(c)
On average, students who learn in the new class method do significantly worse on Algebra tests that do not allow them to use calculators than students who learn by traditional methods (option B)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.