) Run a graphical summary on all 5 columns: ( Stat > Basic Statistics > Graphical Summary) 2) Do all five histograms appear reasonably bell-shaped? ( If not, which ones do not. Also, list their corresponding p-value from the Anderson-Darling Normality Test section with the item) 3) Which is smaller, the standard deviation of the sample means or the standard deviation of the sample medians? 4) How close is the standard deviation of the sample means to 1/sqrt(30)? 5) Save and post the Minitab Project file containing the graphical summaries Data Variable Mean Standard Dev Median Skewness Kurtosis C1 0.140 0.985 0.131 -0.13 0.26 C2 0.163 0.980 0.222 -0.06 -0.59 C3 -0.017 1.070 -0.245 1.70 6.49 C4 -0.279 1.036 -0.336 -0.02 -0.67 C5 -0.041 1.086 -0.097 -0.36 1.37 C6 -0.084 0.817 -0.216 0.36 1.74 C7 -0.104 0.782 -0.078 -0.99 2.44 C8 0.002 0.870 0.128 -0.79 1.23 C9 0.175 1.079 0.418 -0.09 -0.84 C10 0.115 0.934 0.153 -0.08 -0.55 C11 -0.204 1.027 -0.196 -0.67 0.53 C12 -0.037 1.043 -0.116 0.30 -0.08 C13 0.233 0.978 0.165 0.14 -0.68 C14 -0.112 0.970 -0.030 0.13 -0.36 C15 -0.060 0.854 -0.153 0.37 -0.19 C16 -0.225 1.126 -0.253 0.64 2.22 C17 -0.370 0.673 -0.352 0.01 -0.78 C18 0.114 0.843 0.198 -0.54 0.02 C19 0.118 0.882 -0.024 0.11 -0.89 C20 -0.003 1.039 0.002 -0.28 -0.09 C21 -0.221 0.929 -0.001 -0.32 -1.29 C22 0.201 0.994 0.208 -0.09 -0.55 C23 0.014 0.947 -0.167 1.62 4.06 C24 -0.217 0.789 -0.271 0.92 1.13 C25 0.343 0.918 0.344 0.02 -0.21 C26 0.106 0.917 0.138 -0.22 -0.09 C27 -0.090 1.145 -0.063 0.18 -0.34 C28 -0.038 0.711 -0.105 -0.40 0.58 C29 0.244 0.837 0.274 0.05 -0.41 C30 0.018 1.106 0.007 -0.03 -1.04 C31 -0.233 0.951 -0.108 0.02 2.78 C32 -0.170 1.115 -0.003 -0.11 -0.44 C33 0.056 0.890 0.019 0.70 -0.07 C34 0.124 0.957 0.062 0.36 0.41 C35 -0.020 0.972 -0.166 0.27 -1.18 C36 -0.134 1.033 -0.259 -0.04 0.06 C37 0.428 1.146 0.405 0.13 -0.69 C38 -0.193 0.682 -0.066 -0.42 0.55 C39 0.246 1.161 0.319 0.35 0.98 C40 -0.162 1.179 -0.446 -0.08 -1.36 C41 -0.032 1.184 -0.076 -0.07 -0.78 C42 -0.057 0.972 0.171 -1.38 1.99 C43 -0.227 0.940 -0.136 0.14 0.01 C44 -0.093 1.069 -0.157 0.20 -0.65 C45 0.265 1.011 0.559 -1.29 2.93 C46 -0.011 1.035 0.049 0.98 4.71 C47 -0.022 1.023 -0.146 0.43 -0.43 C48 -0.013 1.067 -0.127 -0.01 -0.49 C49 -0.226 1.161 -0.287 -0.06 0.08 C50 0.007 0.951 0.072 -0.22 0.25
1) Run a graphical summary on all 5 columns: ( Stat > Basic Statistics > Graphical Summary)
2) Do all five histograms appear reasonably bell-shaped? ( If not, which ones do not. Also, list their corresponding p-value from the Anderson-Darling Normality Test section with the item)
3) Which is smaller, the standard deviation of the sample means or the standard deviation of the sample medians?
4) How close is the standard deviation of the sample means to 1/sqrt(30)?
5) Save and post the Minitab Project file containing the graphical summaries
Data
Variable Mean Standard Dev
C1 0.140 0.985 0.131 -0.13 0.26
C2 0.163 0.980 0.222 -0.06 -0.59
C3 -0.017 1.070 -0.245 1.70 6.49
C4 -0.279 1.036 -0.336 -0.02 -0.67
C5 -0.041 1.086 -0.097 -0.36 1.37
C6 -0.084 0.817 -0.216 0.36 1.74
C7 -0.104 0.782 -0.078 -0.99 2.44
C8 0.002 0.870 0.128 -0.79 1.23
C9 0.175 1.079 0.418 -0.09 -0.84
C10 0.115 0.934 0.153 -0.08 -0.55
C11 -0.204 1.027 -0.196 -0.67 0.53
C12 -0.037 1.043 -0.116 0.30 -0.08
C13 0.233 0.978 0.165 0.14 -0.68
C14 -0.112 0.970 -0.030 0.13 -0.36
C15 -0.060 0.854 -0.153 0.37 -0.19
C16 -0.225 1.126 -0.253 0.64 2.22
C17 -0.370 0.673 -0.352 0.01 -0.78
C18 0.114 0.843 0.198 -0.54 0.02
C19 0.118 0.882 -0.024 0.11 -0.89
C20 -0.003 1.039 0.002 -0.28 -0.09
C21 -0.221 0.929 -0.001 -0.32 -1.29
C22 0.201 0.994 0.208 -0.09 -0.55
C23 0.014 0.947 -0.167 1.62 4.06
C24 -0.217 0.789 -0.271 0.92 1.13
C25 0.343 0.918 0.344 0.02 -0.21
C26 0.106 0.917 0.138 -0.22 -0.09
C27 -0.090 1.145 -0.063 0.18 -0.34
C28 -0.038 0.711 -0.105 -0.40 0.58
C29 0.244 0.837 0.274 0.05 -0.41
C30 0.018 1.106 0.007 -0.03 -1.04
C31 -0.233 0.951 -0.108 0.02 2.78
C32 -0.170 1.115 -0.003 -0.11 -0.44
C33 0.056 0.890 0.019 0.70 -0.07
C34 0.124 0.957 0.062 0.36 0.41
C35 -0.020 0.972 -0.166 0.27 -1.18
C36 -0.134 1.033 -0.259 -0.04 0.06
C37 0.428 1.146 0.405 0.13 -0.69
C38 -0.193 0.682 -0.066 -0.42 0.55
C39 0.246 1.161 0.319 0.35 0.98
C40 -0.162 1.179 -0.446 -0.08 -1.36
C41 -0.032 1.184 -0.076 -0.07 -0.78
C42 -0.057 0.972 0.171 -1.38 1.99
C43 -0.227 0.940 -0.136 0.14 0.01
C44 -0.093 1.069 -0.157 0.20 -0.65
C45 0.265 1.011 0.559 -1.29 2.93
C46 -0.011 1.035 0.049 0.98 4.71
C47 -0.022 1.023 -0.146 0.43 -0.43
C48 -0.013 1.067 -0.127 -0.01 -0.49
C49 -0.226 1.161 -0.287 -0.06 0.08
C50 0.007 0.951 0.072 -0.22 0.25
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