a) To write an appropriate hypothesis. b) To explain do you think the assump

midtlinjeg

midtlinjeg

Answered question

2021-10-13

a) To write an appropriate hypothesis.
b) To explain do you think the assumptions for inference are satisfied.
c) To explain what the P-value in this context.
d) To state a conclusion about the CPMP program.

Answer & Explanation

Anonym

Anonym

Skilled2021-10-14Added 108 answers

a) The core plus mathematics program (CPMP) is an innovative approach to teaching mathematics. After field test in high schools over a three-year period, researchers compared the perfomances of CPMP students with those taught using traditional curriculum. The data given in the question is:
Math ProgramnMeanSDCPMP3122918.8Traditional26538.416.2
Thus, we define the hypotheses by:
H0:μC=μT
H1:μCμT
Where μC= The mean score of the core plus mathematics program (CPMP).
And μT= The mean score of the Traditional program.
b) The core plus mathematics program (CPMP) is an innovative approach to teaching mathematics. After field test in high schools over a three-year period, researchers compared the perfomances of CPMP students with those taught using traditional curriculum. The data given is:
Math ProgramnMeanSDCPMP3122918.8Traditional26538.416.2
Thus, the assumptions for inference are satisfied because the groups are independent. Though, we do not know if students were randomly assigned to the program so we are assuming that they are randomly assigned. And the samples sizes of both the groups: CPMP and Traditional program are large so the central limit theorem applies and so does the normal condition. Thus, the conditions are satisfied.
c)The core plus mathematics program (CPMP) is an innovative approach to teaching mathematics. After field test in high schools over a three-year period, researchers compared the perfomances of CPMP students with those taught using traditional curriculum. The data given in the question is:
Math ProgramnMeanSDCPMP3122918.8Traditional26538.416.2
Thus, the P-value given in the question is:
P<0.0001
Therefore, the P-value means in this context that if means for the two programs are equal, there is a 1 in 1000 chance of seeing a difference as large as or larger than the observed difference just from natural sampling variation.
d) The core plus mathematics program (CPMP) is an innovative approach to teaching mathematics. After field test in high schools over a three-year period, researchers compared the perfomances of CPMP students with those taught using traditional curriculum. The data given in the question is:
Math ProgramnMeanSDCPMP3122918.8Traditional26538.416.2
Thus, the conclusion about CPMP is that on average, students who learn with the CPMP method do significantly worse on Algebra tests that do not allow them to use calculators than the students who learn by traditional methods.

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