Table one is paired data. The data is the COMET essay score average in 2008 ("before") and 2013 ("after") for some public high schools in the FSM. The thesis being tested is whether the high schools have shown an improvement on the essay section of the COMET test.
x = _________ Calculate the sample mean x for the 2008 essay data.
y = _________ Calculate the sample mean y for the 2013 essay data.
p-value = _________ Calculate the p-value for a paired t-test for a difference of means.
____________________ Do you fail to rejectorreject the null hypothesis?
____________________ Is the difference in the means significant?
____________________ Have the high schools improved from 2008 to 2013?
Table two is independent samples data for OLMCHS and XHS spring 2013. The data is the COMET essay score average for these two high schools in 2013. The thesis being tested is whether the the newly formed OLMCHS students write essays on the same level as veteran institution Xavier High School. Note that Xavier High School usually has the highest essay average in the nation.
x = _________ Calculate the sample mean x for the OLMCHS essay data.
y = _________ Calculate the sample mean y for the XHS essay data.
p-value = _________ Calculate the p-value for an independent samples t-test for a difference of means where the standard deviations are not the same.
____________________ Do you fail to rejectorreject the null hypothesis?
____________________ Is the difference in the means significant?
____________________ Did the OLMCHS students write essays that achieved a comparable average to the XHS students?