1. The dataset GRADESINTROSTATS is a file that contains information from a random sample of 31 students who took Statistics at MacEwan University in a recent term. Your variables of interest are LCMT (lecture midterm grade) and LCFE (lecture final exam grade).The data are given below; your instructor has calculated a column of differences for you.

LCMT	LCFE	LCMT-LCFE
81.58	69.74	11.84
68.42	68.42	0
71.05	65.79	5.26
60.53	60.53	0
65.79	68.42	-2.63
55.26	61.84	-6.58
63.16	69.74	-6.58
84.21	50.00	34.21
89.47	88.16	1.31
81.58	73.68	7.9
92.11	78.95	13.16
86.84	84.21	2.63
97.37	81.58	15.79
68.42	63.16	5.26
68.42	68.42	0
52.63	65.79	-13.16
63.16	60.53	2.63
97.37	98.68	-1.31
68.42	60.53	7.89
78.95	84.21	-5.26
73.68	64.47	9.21
86.84	80.26	6.58
52.63	56.58	-3.95
50.00	71.05	-21.05
78.95	76.32	2.63
44.74	68.42	-23.68
73.68	76.32	-2.64
71.05	65.79	5.26
71.05	57.89	13.16
81.58	67.11	14.47
68.42	59.21	9.21

Note: the sample mean