Question Details
(solution) I have some doubt with this assignment and I have attached the
I have some doubt with this assignment and I have attached the excel spreadsheet with this paper, Thanks.
The standard deviation is a measure of how much variation is present in a sample or population. Refer to the Descriptives table in the spreadsheet and identify the standard deviation for the weights of the three groups. Enter the standard deviation next to the variable names below.
A. Wt_Grp_1 = _____
B. Wt_Grp_2 = _____
C. Wt_Grp_3 = _____
For the three histograms below enter the letter corresponding to the Wt_Grp with a standard deviation most consistent with the shape of the histogram.
Letter ______ (1 pt)
Letter: ______ (1 pt)
Letter ______ (1 pt)
Refer to the TwoSampleTTest tab in the assignment spreadsheet.
Answer the following questions:
Which group of subjects is least alike with regard to weight? ____ (1 pt)
Do the two groups have significantly different mean weights? (Yes/No)_____ (1 pt)
Refer to the PairedTTest tab in the assignment spreadsheet.
Answer the following questions:
Which group of subjects are least alike with regard to blood pressure? ____ (1 pt)
Do the two groups have significantly different mean blood pressures? (Yes/No)______ (1 pt)
To answer the question: Is the 2nd diastolic blood pressure significantly different between Groups
1, 2, and 3?refer to the ANOVA tab in the assignment spreadsheet.
Which group is most alike with respect to blood pressure? ____ (1 pt)
Is there a significant difference in mean blood pressure between the groups? ______ (1 pt)
Anova: Single Factor
SUMMARY
Groups
Diastolic_2_Grp_1
Diastolic_2_Grp2
Diastolic_2_Grp3 Count
23
27
29 ANOVA
Source of Variation
Between Groups
Within Groups SS
1.633924
909.2522 Total 910.8861 Sum
2363
2783
2988 df Average Variance
102.7391 11.3834
103.0741 14.14815
103.0345 10.39163 MS
F
P-value
F crit
2 0.816962 0.068286 0.934051 3.116982
76 11.96384
78 Wt_Grp_3
Systolic BP_1_Grp3
Wt_Grp_3
1
Systolic B 0.241479
1 Ht_Grp_1
Mean Ht_Grp_2 Ht_Grp_3 Wt_Grp_1 69.652173913 66.444444444 64.714285714 182.347826087 Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis 0.7507800835 0.6255102381 0.8275308189 3.9017623948
71
66
64.5
184
65
66
69
187
3.6006147916 3.250246539 4.3788814981 18.7121950893
12.964426877 10.564102564 19.174603175 350.146245059
-1.5840746686 -1.1998041757 -1.2038168366 -0.3504530552 Skewness -0.3363851592 0.1855871166 0.1332054502 0.3846588796 Range 10 10 14 64 Minimum 64 62 58 154 Maximum 74 72 72 218 1602 1794 1812 4194 23 27 28 23 Sum Count Confidence Level(95.0%) 1.5570225879 1.2857546959 1.6979529681 8.0917599104
Upper Limt CI 71.209196501 67.73019914 66.412238682 190.439585997 Lower Limit CI 68.095151325 65.158689749 63.016332746 174.256066177 Wt_Grp_2 Wt_Grp_3 Age_Grp_1 Age_Grp_2 Age_Grp_3 183.111111111 185.214285714 65.7826086957 56.5185185185
3.9199007682 4.3889462954 0.6740724024
180
194
67
188
156
67
20.3684018733 23.2241208307 3.2327376765
414.871794872 539.35978836 10.4505928854
-1.0428313054 -1.5846031099 -1.3288003683
0.2303830228 -0.1522567307 44.75 0.5347480445
57
57
2.7786323472
7.7207977208
-0.5066298662 0.5810613351
44.5
41
3.0746875782
9.4537037037
-1.2254706258 -0.3165556133 -0.6312643925 0.294851831 63 70 9 9 9 154 150 61 51 41 217 220 70 60 50 4944 5186 1513 1526 1253 27 28 23 27 28 8.0574713465 9.005373841 1.3979405947 1.099190337 1.1922393656 191.168582458 194.219659555 67.1805492904 57.6177088555 45.9422393656
175.053639765 176.208911873 64.3846681009 55.4193281815 43.5577606344
2.7958811895 2.1983806741 2.3844787312 Group_1 Surv Group_2 Surv Group_3 Surv Systolic BP_1_Grp1 0.4642857143 0.4761904762 0.4285714286 157.9130434783 0.0959792589
0
0
0.5078745002
0.2579365079
-2.1352899408 0.1116765657
0
0
0.5117663157
0.2619047619
-2.2105263158 0.0952380952
0
0
0.5039526307
0.253968254
-2.0596153846 2.6613267839
158
152
12.7632748842
162.9011857708
-1.3701498485 0.1514607977 0.1028429917 0.3052789974 0.1221852512 1 1 1 39 0 0 0 140 1 1 1 179 13 10 12 3632 28 21 28 23 0.1969331701 0.2329532333 0.1954124279 5.5192539166 0.6612188844 0.7091437095 0.6239838565 163.4322973948 0.2673525442 0.2432372429 0.2331590007 152.3937895617 Diastolic_1_Grp_1 Mean BP_1_Grp_1 Systolic BP_2_Grp1 100.9565217391 119.9420289855 162.1304347826 1.2845667375
101
101
6.1605656534
37.95256917
-1.023091066 1.4500393243
120.6666666667
115
6.9541443017
48.3601229688
-1.0682807681 2.3391363122
160
158
11.2181036634
125.8458498024
-0.7010044888 -0.1788752633 0.0449683718 0.3871803024 20 23 39 90 109.3333333333 145 110 132.3333333333 184 2322 2758.6666666667 3729 23 23 23 2.6640283485 3.0071974882 4.8510717776 103.6205500876 122.9492264737 166.9815065602 98.2924933907 116.9348314973 157.279363005 Diastolic_2_Grp_1 Mean BP_2_Grp_1 Systolic BP_1_Grp2 102.7391304348 122.5362318841 138.8518518519 0.7035129
102
99
3.3739293427
11.3833992095
-1.3713265129 0.8813539935
122.6666666667
118
4.2268252652
17.8660518226
-1.2607343464 2.0937457428
136
125
10.8794220141
118.3618233618
-1.1491447485 0.2468008092 -0.1468132877 0.429537413 10 13.3333333333 33 98 115 125 108 128.3333333333 158 2363 2818.3333333333 3749 23 23 27 1.4589964494 1.8278163019 4.3037559692 104.1981268842 124.364048186 143.1556078211 101.2801339854 120.7084155821 134.5480958826 Diastolic_1_Grp2 Mean BP_1_Grp2 Systolic BP_2_Grp2 101.1481481481 113.7160493827 166.6296296296 1.3276628392
103
106
6.8987384783
47.5925925926
-1.5442934008 1.041206064
114
114.6666666667
5.4102654118
29.2709718265
-0.6878750843 2.2853105471
169
169
11.874821936
141.0113960114
-1.187750661 -0.231528 -0.1640067578 -0.1908867475 20 18.6666666667 38 90 104.3333333333 146 110 123 184 2731 3070.3333333333 4499 27 27 27 2.7290500238 2.1402296952 4.6975230599 103.8771981719 115.8562790779 171.3271526896 98.4190981244 111.5758196875 161.9321065697 Diastolic_2_Grp2 Mean BP_2_Grp2 Systolic BP_1_Grp3 103.0740740741 124.2592592593 135.4285714286 0.7238822328
103
107
3.7614024177
14.1481481481
-1.6555982145 0.8107252982
125
126.6666666667
4.2126522223
17.7464387464
0.1064622765 2.0602232962
136
150
10.9016769741
118.8465608466
-1.0549392047 0.0033127891 -0.3736955711 -0.2319929697 10 17.6666666667 35 98 114 115 108 131.6666666667 150 2783 3355 3792 27 27 28 1.487961225 1.6664697007 4.2272289815 104.5620352991 125.92572896 139.6558004101 101.586112849 122.5927895585 131.2013424471 Diastolic_1_Grp3 Mean BP_1_Grp3 Systolic BP_2_Grp3 99.3571428571 111.380952381 161 1.0937705834
100
104
5.7876899103
33.4973544974
-0.9059789451 1.1626555241
112
107.3333333333
6.1521947542
37.8495002939
-0.7328648113 1.6824648082
160.5
149
8.902766944
79.2592592593
-1.0856754114 -0.2469432596 -0.4361527359 0.0668133707 19 21.3333333333 32 90 98.3333333333 146 109 119.6666666667 178 2782 3118.6666666667 4508 28 28 28 2.2442318354 2.3855720571 3.4521325967 101.6013746926 113.7665244381 164.4521325967 97.1129110217 108.9953803239 157.5478674033 Diastolic_2_Grp3 Mean BP_2_Grp3 103.1071428571 140.9166666667 0.6157957937
103
101
3.2584850572
10.6177248677
-1.2696402397 1.3066808164
140.8333333333
133.6666666667
6.9143049664
47.8076131687
0.1829290545 -0.0682271006 -0.3180400626 10 31 98 123 108 154 2887 3945.6666666667 28 28 1.263508587 2.6810875437 104.3706514441 143.5977542104 101.8436342701 138.2355791229 Variable
Ht_Grp_1
Ht_Grp_2
Ht_Grp_3
Wt_Grp_1
Wt_Grp_2 Coefficient of Variation
5.2
4.9
6.8
10.3
11.1 Wt_Grp_3 12.5 Age_Grp_1 4.9 Age_Grp_2 4.9 Age_Grp_3 6.9 Group_1 Surv 109.4 Group_2 Surv 107.5 Group_3 Surv 117.6 Systolic BP_1_Grp1 8.1 Diastolic_1_Grp_1
Mean BP_1_Grp_1
Systolic BP_2_Grp1
Diastolic_2_Grp_1
Mean BP_2_Grp_1
Systolic BP_1_Grp2
Diastolic_1_Grp2
Mean BP_1_Grp2
Systolic BP_2_Grp2
Diastolic_2_Grp2
Mean BP_2_Grp2
Systolic BP_1_Grp3
Diastolic_1_Grp3
Mean BP_1_Grp3
Systolic BP_2_Grp3
Diastolic_2_Grp3
Mean BP_2_Grp3 6.1
5.8
6.9
3.3
3.4
7.8
6.8
4.8
7.1
3.6
3.4
8
5.8
5.5
5.5
3.2
4.9 Lower Limit of WtFrequency
Class Cumulative %
150
1
3.45%
160
5 20.69%
170
4 34.48%
180
2 41.38%
190
0 41.38%
200
7 65.52%
210
5 82.76%
220
5 100.00% Histogram
8
6
4
Frequency
2
0 150.00%
100.00%
50.00%
150160170180190200210220 Frequen
Cumulati 0.00% Lower Limit of Wt Class **The limit points are not included in the cumulative %. E.g. 82.76% of the participants were strictly less gram 210220 150.00%
100.00%
50.00% Frequency
Cumulative % 0.00% Wt Class articipants were strictly less than 210 lbs. Diastolic_1_Grp_1
92
109
108
101
90
92
101
93
95
106
101
99
104
105
99
94
105
99
108
110
101
100
110
Disease=>
Disease Free=> Diastolic_2_Grp_1
0
99
1
103
1
99
1
100
0
108
0
104
1
105
0
106
0
105
1
100
1
98
0
102
1
107
1
106
0
101
0
108
1
102
0
104
1
99
1
101
1
99
0
108
1
99
13 Disease=>
10 Disease Free=> 0
Diseased at Start
Diseased at Start
Diseased at Start
1
1
Diseased at Start
1
1
Diseased at Start
Diseased at Start
1
Diseased at Start
Diseased at Start
1
1
Diseased at Start
1
Diseased at Start
Diseased at Start
Diseased at Start
1
Diseased at Start
9
1 t-Test: Paired Two Sample for Means
Diastolic_1_Grp2 Diastolic_2_Grp2
Mean
101.148148148 103.0740740741
Variance
47.5925925926 14.1481481481
Observations
27
27
Pearson Correlation
0.0781174947
Hypothesized Mean Difference
0
df
26
t Stat
-1.3176011151
P(T<=t) one-tail
0.0995651571
t Critical one-tail
1.7056179005
P(T<=t) two-tail
0.1991303141
t Critical two-tail
2.0555294185 Point Wt_Grp_3
8
220
17
216
15
213
27
213
4
211
2
209
10
205
13
205
29
202
3
201
11
200
7
196
14
196
25
195
26
195
19
193
5
191
12
174
21
172
24
165
22
163
9
162
23
161
18
159
1
157
6
156
28
156
16
152
20
150 Rank
1
2
3
3
5
6
7
7
9
10
11
12
12
14
14
16
17
18
19
20
21
22
23
24
25
26
26
28
29 Percent
100.00%
96.40%
89.20%
89.20%
85.70%
82.10%
75.00%
75.00%
71.40%
67.80%
64.20%
57.10%
57.10%
50.00%
50.00%
46.40%
42.80%
39.20%
35.70%
32.10%
28.50%
25.00%
21.40%
17.80%
14.20%
7.10%
7.10%
3.50%
0.00% Ht_Grp_1 Ht_Grp_2 Ht_Grp_3 Wt_Grp_1 Wt_Grp_2 Wt_Grp_3 Age_Grp_1 Age_Grp_2 Age_Grp_3 Group_1 Surv 73 66 59 174 188 157 69 55 45 0 68 66 58 186 157 209 67 57 50 0 65 72 69 154 191 201 62 60 49 0 65 64 66 202 179 211 65 57 45 1 70 64 63 218 175 191 62 59 41 0 65 70 67 185 156 156 65 57 46 1 74 66 64 187 214 196 61 55 47 0 71 66 72 187 166 220 69 60 44 1 73 68 67 184 177 162 67 52 44 1 71 63 61 187 180 205 66 54 49 1 64 62 65 172 155 200 67 57 42 0 70 70 59 193 214 174 68 51 42 1 66 71 60 180 180 205 61 58 44 1 74 66 60 217 187 196 61 57 49 0 72 62 72 215 202 213 70 59 41 0 73 62 60 172 154 152 61 54 48 0 72 63 69 157 170 216 69 58 41 1 74 64 62 168 195 159 68 55 42 1 72 69 68 192 177 193 70 57 46 1 65 62 72 155 215 150 63 60 41 0 65 64 64 184 217 172 65 59 41 1 67 68 62 164 211 163 67 56 43 0 73 66 62 161 165 161 70 57 50 0 70 69 155 165 52 41 1 70 66 188 195 59 45 0 68 69 203 195 51 46 1 72 68 173 213 60 43 0 Lower Limit of Wt Class
150
160
170
180
190
200
210
220 59 156 48 0 61 202 45 1 Group_2 Surv Group_3 Surv Systolic BP_1_Grp1 Diastolic_1_Grp_1 Mean BP_1_Grp_1 Systolic BP_2_Grp1
1 1 152 92 0 0 179 109 0 0 173 108 0 1 147 101 0 1 158 90 0 0 166 92 1 1 143 101 1 0 142 93 1 1 141 95 1 1 149 106 1 1 173 101 1 0 169 99 1 0 162 104 0 1 168 105 0 1 178 99 0 0 140 94 0 1 152 105 0 1 146 99 0 0 155 108 1 0 159 110 1 0 143 101 0 165 100 0 172 110 0
1
0
0
0
1 112.0
132.3
129.7
116.3
112.7
116.7
115.0
109.3
110.3
120.3
125.0
122.3
123.3
126.0
125.3
109.3
120.7
114.7
123.7
126.3
115.0
121.7
130.7 156
145
184
161
165
160
174
154
169
178
158
170
166
158
162
146
181
177
151
158
156
153
147 Diastolic_2_Grp_1 Mean BP_2_Grp_1 Systolic BP_1_Grp2 Diastolic_1_Grp2 Mean BP_1_Grp2 Systolic BP_2_Grp2
99
103
99
100
108
104
105
106
105
100
98
102
107
106
101
108
102
104
99
101
99
108
99 118.0
117.0
127.3
120.3
127.0
122.7
128.0
122.0
126.3
126.0
118.0
124.7
126.7
123.3
121.3
120.7
128.3
128.3
116.3
120.0
118.0
123.0
115.0 137 90 125 106 136 109 134 108 151 95 131 94 132 102 125 94 143 106 152 93 158 92 157 103 139 99 132 106 126 109 149 110 126 97 134 105 138 105 135 110 125 105 131 92 156 91 143 110 150 99 154 107 130 94 105.7
112.3
118.0
116.7
113.7
106.3
112.0
104.3
118.3
112.7
114.0
121.0
112.3
114.7
114.7
123.0
106.7
114.7
116.0
118.3
111.7
105.0
112.7
121.0
116.0
122.7
106.0 161
151
169
154
179
184
168
170
172
169
159
181
174
170
179
164
156
172
147
181
152
153
146
181
169
184
154
166.6296296296 Diastolic_2_Grp2 Mean BP_2_Grp2 Systolic BP_1_Grp3 Diastolic_1_Grp3 Mean BP_1_Grp3 Systolic BP_2_Grp3
107
108
100
99
100
103
106
108
107
99
100
98
101
100
107
108
106
98
104
107
108
106
98
101
103
98
103 125.0
122.3
123.0
117.3
126.3
130.0
126.7
128.7
128.7
122.3
119.7
125.7
125.3
123.3
131.0
126.7
122.7
122.7
118.3
131.7
122.7
121.7
114.0
127.7
125.0
126.7
120.0 118 94 129 91 142 107 140 91 131 104 122 100 134 93 137 97 138 99 130 100 150 101 149 104 121 90 131 109 145 104 121 104 129 103 148 105 150 101 136 100 147 97 133 90 141 109 115 90 150 95 149 103 136 102 120 99 130 99 102.0
103.7
118.7
107.3
113.0
107.3
106.7
110.3
112.0
110.0
117.3
119.0
100.3
116.3
117.7
109.7
111.7
119.3
117.3
112.0
113.7
104.3
119.7
98.3
113.3
118.3
113.3
106.0
109.3 167
160
154
149
146
178
149
161
168
153
170
154
159
164
158
169
174
168
163
162
149
172
153
159
172
171
150
156
150 Diastolic_2_Grp3 Mean BP_2_Grp3
101
107
103
106
103
106
103
98
101
101
99
100
105
102
99
108
98
108
107
98
107
103
106
105
107
101
101
104
101 123.0
142.3
137.0
134.7
131.7
154.0
133.7
140.0
145.7
135.7
146.3
136.0
141.0
143.3
138.3
148.7
148.7
148.0
144.3
140.7
135.0
149.0
137.3
141.0
150.3
147.7
133.7
138.7
133.7 Wt_Grp_3 Systolic BP_1_Grp3
157 118 209 129 201 142 211 140 191 131 156 122 196 134 220 137 162 138 205 130 200 150 174 149 205 121 196 131 213 145 152 121 216 129 159 148 193 150 150 136 172 147 163 133 161 141 165 115 195 150 195 149 213 136 156 120 202 130 220 Diastolic_2_Grp_1 Diastolic_2_Grp2 Diastolic_2_Grp3 Diastolic_1_Grp2 Diastolic_2_Grp2 99 107 101 90 107 103 108 107 106 108 99 100 103 109 100 100 99 106 108 99 108 100 103 95 100 104 103 106 94 103 105 106 103 102 106 106 108 98 94 108 105 107 101 106 107 100 99 101 93 99 98 100 99 92 100 102 98 100 103 98 107 101 105 99 101 106 100 102 106 100 101 107 99 109 107 108 108 108 110 108 102 106 98 97 106 104 98 108 105 98 99 104 107 105 104 101 107 98 110 107 99 108 107 105 108 108 106 103 92 106 99 98 106 91 98 101 105 110 101 103 107 99 103 98 101 107 98 103 101 94 103 104
101 Diastolic_1_Grp_1 Diastolic_2_Grp_1 17 + 92 0 99 0 2 + 109 1 103 Diseased at Start -9 - 108 1 99 Diseased at Start -9 - 101 1 100 Diseased at Start 5 + 90 0 108 1 9 + 92 0 104 1 4 + 101 1 105 Diseased at Start 14 + 93 0 106 1 1 + 95 0 105 1 6 + 106 1 100 Diseased at Start 8 + 101 1 98 Diseased at Start -5 - 99 0 102 1 2 + 104 1 107 Diseased at Start -6 - 105 1 106 Diseased at Start -2 - 99 0 101 1 -2 - 94 0 108 1 9 + 105 1 102 Diseased at Start -7 - 99 0 104 1 -1 - 108 1 99 Diseased at Start -3 - 110 1 101 Diseased at Start 3 + 101 1 99 Diseased at Start 14 + 100 0 108 1 7 + 110 1 99 Diseased at Start -9 - 4 + Disease=> 13 Disease=> 9 -9 - Disease Free=> 10 Disease Free=> 1 9 + Positive=> 16 Negative=> 11 SUMMARY OUTPUT
Regression Statistics
Multiple R 0.241479
R Square 0.058312
Adjusted R 0.023435
Standard E 10.62585
Observatio
29
ANOVA
df
Regression
Residual
Total SS
MS
F Significance F
1 188.7748 188.7748 1.671924 0.206956
27 3048.536 112.9087
28 3237.31 Coefficients
Standard Error t Stat
P-value Lower 95%Upper 95%
Lower 95.0%
Intercept 114.2828 16.32854 6.99896 1.6E-007 80.77942 147.7862 80.77942
Wt_Grp_3 0.112806 0.087242 1.293029 0.206956 -0.066199 0.291811 -0.066199 Upper 95.0%
147.7862
0.291811 160
150
140
130 f(x) = 0.1128058985x + 114.2828213329
R² = 0.0583122458 120
110
100
90
80
Systolic BP
70
60
50
40
30
20
10
0
140 150 160 170 180
Wt_Grp_3 190 200 210 220 230 Diastolic_ Diastolic_2_Grp2
90
107
106
108
109
100
108
99
95
100
94
103
102
106
94
108
106
107
93
99
92
100
103
98
99
101
106
100
109
107
110
108
97
106
105
98
105
104
110
107
105
108
92
106
91
98
110
101
99
103
107
98
94
103 17 +
2+
-9 -9 5+
9+
4+
14 +
1+
6+
8+
-5 2+
-6 -2 -2 9+
-7 -1 -3 3+
14 +
7+
-9 4+
-9 9+ Positive=>
Negative=> 16
11 1.1 1 0.9 0.8 0.7 0.6
% Survived
0.5 0.4 0.3 0.2 0.1 0 0 1 2 3 5 6 9 10 11 12 13 Time (months) 14 17 17 18 19 21 23 24 24 24 Year of Death Year of Last Contact 1
2
3
4
6
9
10
11
12
13
14
17
17
18
19
21
23
24
24
24 Time
0
1
2
3
5
6
9
10
11
12
13
14
17
17
18
19
21
23
24
24
24 Event
(1=death,
0=censored)
1
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0 Number atNumber
Risk
of Deaths
Number
Dt Cesored
20
19
18
17
16
15
14
13
12
11
10
9
9
7
6
5
4
3
3
3 1
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0 0
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1 1
0.95
0.95
0.897222
0.844444
0.844444
0.844444
0.844444
0.844444
0.844444
0.844444
0.76
0.675556
0.675556
0.675556
0.675556
0.675556
0.506667
0.506667
0.506667
0.506667 t-Test: Two-Sample Assuming Equal Variances Mean
Variance
Observations
Pooled Variance
Hypothesized Mean Difference
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail Wt_Grp_1 Wt_Grp_2
182.3478 183.1111
350.1462 414.8718
23
27
385.2059
0
48
-0.137057
0.44578
1.677224
0.891559
2.010635
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DATE ANSWEREDSep 13, 2020
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