quiz 07 sections 11.1 & 11.2 se1 • 11 April 2014 Name:

Table one
School	2008	2013
CHS	17	22.4
KHS	26	30.2
MHS	24.6	30.6
NMHS	22.6	31.7
PICS	28.7	31.7
YHS	29	34.1

Table two
OLMCHS	XHS
32	39
47	47
46	50
43	48
46	41
41	43
37	39
44	50
41	48
46	35
41	49
44	46
45	42
45	40
40	49
32	43
44	44
47	46
41	38
46	46
45	50
44	42
	37
	47
	42
	42
	46
	42
	46
	45
	47
	45
	42
	42
	42
	42
	42
	40
	45
	50

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 reject or reject 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 reject or reject 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?