for 320 CPMP students were compared to those of a controlgroup of 273 students in a traditional math program. Computersoftware was used to create a confidence interval for the differ-ence in mean scores. (Journal for Research in MathematicsEducation, 31, no. 3)Conf level: 95% Variable: Mu(CPMP)-Mu(Ctrl)Interval: (5.573 11427)a) What's the margin of error for this confidence interval?b) If we had created a 98% CI, would the margin of error belarger or smaller?c) Explain what the calculated interval means in this context.d) Does this result suggest that students who learn mathematicswith CPMP will have significantly higher mean scores inalgebra than those in traditional programs? Explain. 57. Learning math The Core Plus Mathematics Project (CPMP) isan innovative approach to teaching Mathematics that engagesstudents in group investigations and mathematical modeling.After field tests in 36 high schools over a three-year period,researchers compared the performances of CPMP students withthose taught using a traditional curriculum. In one test, studentshad to solve applied algebra problems using calculators. Scores

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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 this context. d) Does this result suggert

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 this context. d) Does this result suggert

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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 differ-
ence in mean scores. (Journal for Research in Mathematics
Education, 31, no. 3)
Conf level: 95% Variable: Mu(CPMP)-Mu(Ctrl)
Interval: (5.573 11427)
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 this 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.

57. 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 compared 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

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Congratulations, you just made a confidence interval! But wait, how did we decide on the width of the interval? The middle of the interval is the sample mean. We start there, and then the "wiggle room" we give on either side of that center is called the margin of error (MOE). There's a formula for margin of error: 0 MOE = 2* √T This formula consists of three values: o is the standard deviation, n is the sample size, and z is a multiplier that we choose based on the confidence level we need. Confidence levels are expressed as percentages, the most common are 90%, 95%, and 99%: * Confidence Z Level value 90% 1.645 95% 1.96 99% 2.576 Let's practice computing a margin of error. For our earlier example about houses, suppose the standard deviation was 14 years, and the sample size was 30. Use a confidence level of 95% and determine the margin of error: σ Remember, we'll use the formula MOE = 2* . First fill in the numbers for each part of the formula: √n = σ= n = Now put it all together,…
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