Learning math Core Plus Mathematics Proje is innovative approach to teaching Mathematics that students group investigations and mathematical modeling

nicekikah

nicekikah

Answered question

2021-08-10

Learning math The Core Plus Mathematics Project (CPMP) is an innovative approach to teaching Mathematics that engages students in group investigations and mathematical modeling. After field tests in 36 high schools over a three-year period, researchers compare the performances of CPMP students with those taught using a traditional curriculum. In one test, students had to solve applied Algebra problems using calculators. Scores for 320 CPMP students were compared to those of a control group of 273 students in a traditional Math program. Computer software was used to create a confidence interval for the difference in mean scores. (Journal for Research in Mathematics Education, 31, no. 3[2000]) Conf level: 95% Variable: Mu(CPMP) – Mu(Ctrl) Interval: (5.573, 11.427)
a) What’s the margin of error for this confidence interval?
b) If we had created a 98% CI, would the margin of error be larger or smaller?c) Explain what the calculated interval means in context.
d) Does this result suggest that students who learn Mathematics with CPMP will have significantly higher mean scores in Algebra than those in traditional programs? Explain.

Answer & Explanation

Aubree Mcintyre

Aubree Mcintyre

Skilled2021-08-11Added 73 answers

Step 1
We are allowed to answer three subparts at a time, since you have not mentioned which part you are looking for, so we are answering the first three subparts, please repost your question separately for the remaining subpart.
Step 2
Given:The 95% confidence interval is (5.573, 11.427)
(a)The margin of error can be calculated as:

Margin of error=Upper limit-Lower limit2
=11.4275.5732
=2.927
Step 3
(b)The margin of error is positively related to the confidence level. The increase in confidence level tends to increase the margin of error and vice versa. So, it could be said that the margin of error would be larger for 98% confidence level.
(c)There is 95% probability that the difference in true mean score of student of CPMP and those of traditional curriculum lies between 5.573 and 11.427.

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