Question: The Data in the Excel file Assignment4.xlsx under Q1 are the means of 1000 samples of size 5 S5 and of size 30 S30 drawn
The Data in the Excel file Assignment4.xlsx under Q1 are the means of 1000 samples of size 5 "S5" and of size 30 "S30" drawn from an exponential distribution with mean 0.5.
A) Draw a histogram for both cases and comment on the distributions, i.e. is it (approximately) symmetric? Why yes/why not?
B) Find the mean and the standard error of both and compare them to the exact mean and standard error.
S5 S30
.52 .49
.50 .39
.50 .48
.90 .66
.56 .59
.51 .57
.45 .43
.48 .39
.44 .50
.22 .50
.69 .46
.73 .70
.27 .46
.55 .39
.62 .68
.36 .47
.21 .54
.66 .41
.75 .55
.20 .44
.39 .38
.71 .49
.41 .42
.16 .35
.89 .67
.94 .58
.73 .47
.44 .37
.30 .60
.46 .47
.24 .54
.57 .59
.72 .45
.54 .57
.68 .43
.54 .64
.38 .50
.56 .61
.89 .50
.31 .42
.59 .48
.74 .62
.29 .56
.50 .48
.35 .59
.51 .45
.64 .61
.41 .44
.48 .48
.39 .42
.41 .47
.72 .51
1.04 .67
.44 .54
.43 .40
.37 .52
.53 .41
.60 .53
.20 .59
.72 .73
.40 .45
.54 .49
.51 .43
.31 .35
.53 .51
.36 .42
.67 .60
.58 .46
.49 .46
.27 .39
.25 .47
.13 .35
.31 .56
.42 .58
.27 .47
.88 .47
.29 .54
.60 .47
.20 .49
.39 .48
1.22 .54
.39 .45
.31 .42
.08 .44
.85 .59
.53 .44
.20 .58
.91 .35
.76 .57
.50 .52
.91 .65
.48 .50
.50 .39
.18 .46
.60 .48
.36 .42
.52 .46
.54 .51
.48 .58
.45 .42
.28 .47
.31 .59
.24 .55
.41 .40
.37 .40
.97 .48
1.35 .50
.65 .46
.51 .50
.75 .41
.58 .46
.64 .60
.68 .45
.32 .39
.48 .46
.30 .34
.26 .62
.49 .46
.52 .55
.37 .45
.36 .47
.50 .47
.45 .52
.54 .30
.50 .43
.46 .67
1.01 .68
.27 .51
.39 .42
.41 .54
.73 .45
.42 .59
.41 .49
.76 .72
.54 .54
.49 .45
.37 .28
.39 .38
.20 .28
.69 .54
.26 .48
.38 .49
.38 .51
.51 .42
.20 .35
.51 .43
.42 .51
.38 .52
.64 .48
.49 .50
.47 .42
.99 .55
.36 .41
.52 .51
.61 .57
.67 .39
.56 .49
.50 .42
.30 .27
.48 .47
.61 .48
.45 .57
.40 .39
.27 .36
.13 .38
.64 .61
.35 .46
.75 .58
.60 .55
.38 .46
.29 .52
.25 .35
.35 .50
1.09 .55
.85 .46
.47 .60
.32 .48
.31 .42
.48 .61
.54 .54
.30 .40
.79 .72
.92 .44
.41 .40
.38 .52
.40 .32
.64 .49
.43 .33
.62 .57
.68 .44
.30 .55
1.18 .73
.40 .36
.32 .41
.25 .54
.33 .53
.46 .39
.50 .39
.25 .39
.39 .45
.51 .51
.30 .53
.27 .43
.32 .52
.54 .57
.56 .53
.52 .48
1.03 .58
.39 .56
.17 .39
.50 .56
.27 .56
.34 .47
.63 .46
.56 .60
.64 .51
.79 .41
1.06 .66
.33 .43
.58 .60
.51 .44
.24 .48
.14 .45
.48 .48
.53 .50
.45 .76
.26 .33
.23 .42
.51 .43
.82 .52
.48 .55
.59 .51
.72 .47
.46 .35
.09 .39
.35 .55
.49 .43
.34 .38
.66 .44
.44 .50
.14 .40
.31 .48
.21 .41
.09 .52
.15 .35
.94 .61
.91 .67
.62 .45
.26 .52
.69 .72
.33 .38
.29 .35
.51 .52
.54 .51
.16 .39
.30 .48
.64 .64
.56 .37
.47 .62
.39 .48
.15 .50
.20 .38
.71 .48
.34 .47
.58 .58
.38 .43
.81 .66
.58 .44
.81 .37
.33 .55
.22 .60
.62 .49
.32 .44
.21 .37
.73 .47
.45 .52
.57 .40
.55 .48
.17 .46
.20 .52
.41 .40
.38 .48
.32 .47
.44 .56
.23 .34
.53 .48
.78 .53
.24 .33
.40 .48
.31 .44
.47 .43
.25 .45
.30 .49
.84 .57
.31 .46
.95 .57
.78 .56
.54 .38
.34 .41
.85 .49
.53 .54
.61 .56
.30 .44
.46 .42
.36 .49
.15 .43
.52 .51
.44 .43
.32 .58
.97 .68
.43 .52
.44 .49
.35 .54
.25 .34
.34 .52
.74 .39
.28 .38
.67 .34
.28 .48
.30 .47
.35 .55
.57 .57
.26 .38
.39 .51
.28 .36
.60 .62
.26 .54
1.02 .62
.38 .50
.30 .57
.83 .54
.61 .75
.67 .55
.77 .64
.69 .61
.94 .60
.49 .54
.63 .50
.66 .54
.39 .44
.52 .53
.51 .55
.32 .47
.35 .64
.97 .56
.45 .87
.36 .63
.56 .65
.42 .57
.51 .46
.58 .64
.21 .41
.31 .47
.28 .50
.44 .48
.62 .45
.42 .43
.54 .49
.47 .53
.63 .40
.81 .55
.64 .49
.44 .45
.20 .39
.54 .47
.28 .32
.95 .63
1.37 .62
.62 .51
.31 .55
.41 .44
.42 .65
.47 .58
.99 .51
.55 .39
.55 .60
.45 .41
.22 .48
.59 .56
.63 .56
.29 .49
.50 .41
.48 .46
.39 .47
.44 .34
.62 .51
.54 .62
.22 .68
.26 .49
1.05 .48
.40 .39
.58 .49
.87 .52
.94 .60
.82 .39
.63 .50
.23 .44
.30 .36
.77 .67
.14 .43
.47 .53
.34 .53
.74 .61
.66 .56
.79 .42
.41 .43
.55 .49
1.26 .53
1.27 .63
.59 .38
.46 .37
.56 .42
.19 .51
.13 .45
.60 .58
.45 .61
.64 .51
.54 .54
.44 .38
.65 .54
.14 .57
.71 .47
.31 .71
.45 .59
.37 .51
.49 .62
.76 .56
.27 .42
.34 .45
.64 .50
.26 .37
.24 .49
.97 .54
.26 .45
.57 .64
.29 .43
.67 .48
.43 .39
.47 .51
.52 .53
.16 .45
.48 .35
.64 .45
.47 .28
.50 .51
.36 .40
.57 .55
.53 .52
.46 .48
.65 .60
.63 .40
.52 .59
.41 .50
.27 .38
.75 .58
.35 .59
.24 .42
.73 .56
.56 .38
.39 .40
.78 .66
.29 .43
.66 .43
.17 .41
.60 .43
.50 .65
.82 .55
.65 .57
.58 .42
.53 .54
.24 .36
.83 .48
.57 .57
.47 .53
.42 .46
.47 .52
.44 .38
.59 .52
.34 .41
.37 .38
.78 .59
.37 .60
.40 .45
.59 .48
.35 .60
.37 .47
.32 .47
.67 .69
.48 .55
.34 .50
.41 .64
.41 .56
.67 .62
.16 .37
.40 .44
.28 .59
.23 .45
.58 .40
.45 .46
.63 .52
.70 .51
.54 .43
.56 .62
.51 .45
.28 .50
.50 .57
.57 .49
.52 .49
.69 .49
1.25 .62
.80 .66
.17 .30
.37 .52
.61 .56
.98 .48
.62 .76
.43 .47
.15 .34
.41 .36
.16 .43
.50 .59
.65 .49
1.02 .52
.45 .61
.41 .47
.64 .52
.14 .44
.43 .36
.93 .76
.37 .59
.45 .55
.73 .57
.31 .47
.35 .46
.21 .41
.53 .59
.44 .46
.53 .51
.35 .53
.31 .53
.42 .49
.43 .47
1.13 .67
.27 .51
.83 .66
.68 .53
.39 .37
.53 .59
.21 .39
.71 .57
.30 .37
.53 .45
.93 .54
.55 .40
.45 .33
.42 .30
.59 .54
.52 .64
.43 .43
.82 .50
.71 .70
.46 .46
.55 .45
.45 .56
.36 .40
.35 .61
.35 .33
.69 .63
.32 .49
.94 .48
.23 .56
.72 .52
.34 .47
.30 .49
.19 .42
.39 .46
.20 .43
.52 .47
.50 .39
.27 .32
.33 .51
.38 .28
.47 .45
.67 .48
1.00 .65
.65 .57
.47 .60
.57 .53
.44 .56
.49 .55
.62 .41
.63 .51
.65 .31
.45 .42
.79 .58
.14 .66
.81 .46
.67 .49
.98 .48
.67 .52
.72 .45
.38 .45
.38 .58
.41 .49
.47 .56
1.18 .48
.40 .54
.31 .57
.25 .40
.26 .50
.14 .50
.26 .52
.29 .52
.36 .51
.41 .46
.61 .58
.73 .59
.24 .48
.32 .40
.64 .52
.31 .45
.53 .40
.95 .50
.50 .39
.25 .50
.40 .35
.80 .55
.55 .44
.66 .62
.75 .38
.56 .60
.59 .49
.67 .47
.42 .66
.21 .57
.51 .53
.26 .46
.69 .55
.65 .60
.49 .53
.98 .46
.90 .48
.39 .57
.88 .50
.65 .56
.40 .54
.59 .44
.22 .43
1.12 .57
.24 .42
.34 .36
.63 .55
.86 .53
.37 .36
.41 .46
.26 .59
.26 .55
.58 .54
.87 .50
.24 .52
.55 .63
.62 .46
.32 .60
.40 .45
.45 .47
.42 .57
.65 .45
.37 .56
.39 .42
.56 .53
.24 .47
.16 .46
.37 .46
.38 .60
.56 .52
.67 .44
.77 .54
.33 .49
1.26 .72
.73 .75
.17 .40
.35 .59
.33 .43
.54 .46
.62 .62
1.27 .58
.48 .50
.38 .50
.50 .45
.42 .47
.65 .39
.70 .52
1.03 .67
.29 .62
.77 .52
.68 .53
.42 .54
.27 .28
.86 .66
.52 .54
.22 .57
.43 .46
1.38 .68
.68 .51
.96 .57
.41 .45
.25 .44
.31 .48
.53 .54
.59 .48
.23 .58
.35 .35
.46 .51
.44 .43
.55 .44
.32 .42
.54 .52
.20 .45
.49 .40
.70 .47
.58 .87
.20 .36
.34 .55
.42 .41
.74 .42
1.08 .58
.50 .54
.71 .73
.56 .48
1.04 .52
.22 .65
.22 .41
.35 .45
.41 .47
.90 .56
.41 .43
.42 .45
.52 .63
.42 .49
.25 .68
.45 .40
1.27 .56
.33 .53
.32 .41
.57 .46
.22 .31
.59 .56
.37 .53
.52 .66
.20 .55
.25 .49
.71 .54
.58 .47
.25 .38
.65 .60
.78 .60
.97 .65
.30 .51
.56 .58
.62 .80
.41 .48
.21 .53
.47 .62
.99 .71
.63 .51
.33 .57
.22 .29
.39 .51
.33 .62
.52 .46
.44 .49
1.10 .53
.81 .56
.60 .57
.26 .55
.57 .47
.51 .59
.77 .54
.46 .46
.34 .32
.46 .42
1.13 .55
.29 .51
.58 .36
.29 .45
.84 .69
1.11 .65
.37 .47
.63 .66
.48 .55
.53 .46
.40 .40
.23 .45
.53 .51
.67 .51
.62 .49
.75 .57
.73 .66
.23 .42
.47 .43
.70 .69
.18 .52
.19 .43
.40 .67
.75 .50
.70 .57
.74 .44
.56 .55
.41 .53
.32 .55
.40 .58
.29 .51
.35 .45
.23 .30
.20 .44
.42 .37
.50 .42
.73 .53
.45 .59
.78 .59
.68 .44
.22 .48
.45 .40
.93 .58
.80 .63
.54 .51
.80 .44
.95 .47
.27 .43
.35 .35
.30 .42
.20 .45
.30 .38
1.06 .65
.30 .42
.35 .62
.34 .41
.51 .67
.39 .42
.51 .51
.55 .52
.66 .42
1.06 .56
.54 .45
.60 .44
.93 .69
.46 .40
.27 .34
.21 .32
.62 .48
.48 .61
.58 .47
1.03 .66
.41 .37
.91 .62
.49 .55
.52 .43
.39 .59
.36 .55
.52 .47
.16 .23
1.08 .55
1.16 .64
.46 .38
.48 .32
.42 .50
.44 .63
.23 .51
.36 .59
.56 .63
.57 .59
.62 .48
.89 .52
.66 .52
.36 .46
.65 .53
.38 .39
.79 .83
.46 .62
.48 .40
.47 .59
.54 .55
.40 .38
.25 .49
.38 .57
.43 .45
.38 .48
.32 .34
.35 .48
.27 .45
.54 .45
.31 .55
.63 .44
.57 .39
.48 .46
.16 .45
.72 .60
.10 .39
.45 .51
.39 .37
.71 .58
.30 .44
.56 .46
.36 .41
.42 .41
.39 .37
.43 .58
.64 .37
.63 .45
.32 .55
.33 .38
.63 .55
.75 .75
.30 .59
.40 .44
.26 .43
.52 .44
.32 .50
.18 .50
.52 .38
.36 .61
.51 .59
.78 .45
.53 .48
.33 .52
.69 .53
.66 .48
.49 .49
.46 .48
.51 .40
.89 .50
.60 .46
.25 .51
.76 .55
.58 .43
.65 .35
.44 .51
.27 .38
.79 .47
.40 .53
.22 .32
.15 .39
.89 .67
.53 .41
.76 .64
.62 .55
.15 .42
.61 .48
.42 .46
.57 .36
.44 .50
.31 .46
.50 .52
.53 .55
.39 .39
.29 .53
.40 .53
1.00 .61
.23 .34
.93 .82
.24 .40
.26 .37
.74 .53
.36 .37
.49 .44
.60 .43
.43 .42
.28 .33
.30 .46
.39 .41
.50 .43
.58 .50
.40 .46
.46 .54
.55 .41
.24 .60
.52 .75
.20 .56
.55 .35
.29 .33
.41 .45
.88 .61
.45 .52
.34 .56
.53 .59
.87 .53
.66 .60
.26 .34
.32 .45
.31 .45
.34 .52
.69 .57
.27 .53
.11 .59
.52 .42
.51 .63
.45 .48
.42 .52
.31 .33
.49 .44
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