Randomly choose data sets of 5 and 20 samples from the complete table of 93 samples for both Protocol 1 and Protocol 2. Compute estimations of the mean and the standard errors of the means for the data samples and compare them to the continuous “population” mean and variance. What conclusion can be drawn from these calculations? 

Protocol 1	Protocol 2
68	10.28
1.18	0
44.33	5.25
37.33	12.16
85.5	5.4
28.6	10.57
31.5	6.59
146	12.57
29.25	13.28
34.25	4.46
72.5	4.27
15.66	12.66
16	4.78
19.28	3.61
15.5	3.9
143	18.28
34.25	11
35	8.22
21.39	14.5
33	5
13.71	8.44
24.75	5.22
15.42	7.22
9.6	7.75
36.5	4.42
50	9.6
39	15.77
10.89	8.08
24.33	8.62
31	7.72
28.5	9.54
25.2	7.4
49	8.85
14.85	20
21.66	6.22
20.79	7
16	16
34	8.55
23.5	4.5
15.28	15
24.16	16
14.42	6.88
42	9.12
10.22	7.44
1.75	1.66
68	12.42
83.5	6.66
146	15.16
19.42	4.38
29.6	4.59
11	11.83
15.5	9.55
8.5	7.16
4.19	7
30.5	5
40.66	8.77
18.33	5.41
27.25	13.19
11.25	3.59
14.22	8.85
12.5	13.39
39	5.71
8.62	7.62
9	5.14
33	5.57
7.77	11.71
20.66	17
8.6	6
23.25	3.63
21	6.85
27.79	10.75
49.66	15.66
22	5
19	8.89
23.79	9.66
46.33	12.33
68	8.5
27.66	13.66
38	8.33
6.44	9.75
32.25	6.15
28.75	8.85
58	5.5
20.25	15
23	5.76
18	5
12.62	11.44
28.2	9.22
7.75	1.33
13.14	4.25
12.87	6
7	9
10.37	6.5

Protocol 1: (5) Random Data Set:

49.66

34.25

29.25

14.42

34.25

(20) Random Data Set for Protocol 1:

21

146

15.42

20.66

15.66

19.42

10.37

24.33

7.75

38

12.87

35

24.16

49.66

23

13.71

24.75

10.37

29.6

27.66