Suppose a random sample of 20 students were given a diagnostic test before studying a particular module and then again after completing the module. Is there sufficient evidence that the teaching method was effective (i.e. are their post-test scores higher on average than their pre-test scores)? What is the pvalue and the results of the test?  Paired t-test data:  post and pre t = 2.045, df = 19, p-value = 0.02748 alternative hypothesis: true difference in means is greater than 0 95 percent confidence interval:  0.5032675       Inf sample estimates: mean of the differences                 3.258108

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose a random sample of 20 students were given a diagnostic test before studying a particular module and then again after completing the module. Is there sufficient evidence that the teaching method was effective (i.e. are their post-test scores higher on average than their pre-test scores)?

What is the pvalue and the results of the test? 

Paired t-test
data:  post and pre
t = 2.045, df = 19, p-value = 0.02748
alternative hypothesis: true difference in means is greater than 0
95 percent confidence interval:
 0.5032675       Inf
sample estimates:
mean of the differences
                3.258108

A. 0.02748<=alpha(0.05) therefore H0 is rejected

B. 3.258108<=alpha(0.05) therefore H0 is not rejected

C. 19 is not <=alpha(0.05) therefore H0 is not rejected

D.  0<=alpha(0.05) therefore H0 is rejected

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