Student #	# Correct	Accuplacer Score		Accuplacer Placement Into Course	Took Pre-Requisite	Moved Up/Down	Signed Waiver (Remained in 060)		Return to Table of Contents
		AR	EA
1	5	60	29	X		No	Yes	ACCUP
2*	15	59	35	X		Yes/Up		Mean	8.17
3	7	83	38	X		No	Yes	Standard Error	1.03
4	6	85	31	X		No	Yes	Median	6.5
5	11	61	24	X		No		Mode	5
6	12	67	35	X		No		Standard Deviation	3.563280749
7	7	58	35	X		No	Yes	Sample Variance	12.6969697
8	6	76	29	X		No	Yes	Kurtosis	-0.73157478
10	13	73	37	X		No		Skewness	0.921357346
15	5	73	44	X		Yes/Down		Range	10
16	5	75	24	X		No	Yes	Minimum	5
17	6	61	35	X		No	Yes	Maximum	15
9	5.5	36	36		X	No	Yes	Sum	98
11	7	54	34		X	No	Yes	Count	12
12	11	53	29		X	No
13	5	54	38		X	No	Yes	Pre-Req
14	2	47	31			No	Yes	Mean	7.13
								Standard Error	1.36
								Median	6.25
z-Test: Two Sample for Means								Mode	#N/A
								Standard Deviation	2.719528145
	ACCUP	Pre-Req						Sample Variance	7.395833333
Mean	8.17	7.13						Kurtosis	1.907716723
Known Variance	3.56	2.72						Skewness	1.468253878
Observations	12	4						Range	6
Hypothesized Mean Difference	0							Minimum	5
z	1.05							Maximum	11
P(Z<=z) one-tail	0.15							Sum	28.5
z Critical one-tail	1.64							Count	4
P(Z<=z) two-tail	0.29
z Critical two-tail	1.96
Bec z=1.05 does not fall within the critical region 1.96,  FAIL TO REJECT H0, i.e., means are probably the same.