To find:that is there is proof of a bionic pancreas that supports patients reach a lower level of plasma glucose than an insulin pump.
Answer to Problem 17.16AYK
Glucose level in insulin pump is greater than in bionic pancreas.
Explanation of Solution
Given:
Subject | Control | Bionic |
1 | 220 | 136 |
2 | 202 | 142 |
3 | 188 | 149 |
4 | 189 | 147 |
5 | 179 | 140 |
6 | 172 | 134 |
7 | 164 | 132 |
8 | 161 | 139 |
9 | 159 | 154 |
10 | 95 | 136 |
11 | 119 | 152 |
12 | 122 | 117 |
13 | 133 | 151 |
14 | 138 | 119 |
15 | 144 | 156 |
16 | 157 | 151 |
17 | 222 | 138 |
18 | 181 | 137 |
19 | 169 | 142 |
20 | 163 | 125 |
21 | 156 | 144 |
22 | 153 | 136 |
23 | 152 | 156 |
24 | 129 | 136 |
25 | 138 | 179 |
26 | 147 | 139 |
27 | 147 | 135 |
28 | 141 | 150 |
29 | 159 | 134 |
30 | 158 | 146 |
31 | 151 | 144 |
32 | 145 | 139 |
Formula used:
Calculation:
Subject | Control | Bionic | d=Control-Bionic | ||
1 | 220 | 136 | 84 | 67.81 | 4598.54 |
2 | 202 | 142 | 60 | 43.81 | 1919.54 |
3 | 188 | 149 | 39 | 22.81 | 520.41 |
4 | 189 | 147 | 42 | 25.81 | 666.29 |
5 | 179 | 140 | 39 | 22.81 | 520.41 |
6 | 172 | 134 | 38 | 21.81 | 475.79 |
7 | 164 | 132 | 32 | 15.81 | 250.04 |
8 | 161 | 139 | 22 | 5.81 | 33.79 |
9 | 159 | 154 | 5 | -11.19 | 125.16 |
10 | 95 | 136 | -41 | -57.19 | 3270.41 |
11 | 119 | 152 | -33 | -49.19 | 2419.41 |
12 | 122 | 117 | 5 | -11.19 | 125.16 |
13 | 133 | 151 | -18 | -34.19 | 1168.79 |
14 | 138 | 119 | 19 | 2.81 | 7.91 |
15 | 144 | 156 | -12 | -28.19 | 794.54 |
16 | 157 | 151 | 6 | -10.19 | 103.79 |
17 | 222 | 138 | 84 | 67.81 | 4598.54 |
18 | 181 | 137 | 44 | 27.81 | 773.54 |
19 | 169 | 142 | 27 | 10.81 | 116.91 |
20 | 163 | 125 | 38 | 21.81 | 475.79 |
21 | 156 | 144 | 12 | -4.19 | 17.54 |
22 | 153 | 136 | 17 | 0.81 | 0.66 |
23 | 152 | 156 | -4 | -20.19 | 407.54 |
24 | 129 | 136 | -7 | -23.19 | 537.66 |
25 | 138 | 179 | -41 | -57.19 | 3270.41 |
26 | 147 | 139 | 8 | -8.19 | 67.04 |
27 | 147 | 135 | 12 | -4.19 | 17.54 |
28 | 141 | 150 | -9 | -25.19 | 634.41 |
29 | 159 | 134 | 25 | 8.81 | 77.66 |
30 | 158 | 146 | 12 | -4.19 | 17.54 |
31 | 151 | 144 | 7 | -9.19 | 84.41 |
32 | 145 | 139 | 6 | -10.19 | 103.79 |
Sum | 518 | 28200.88 |
Null Hypotheses: - glucose level is the equal in both from bionic pancreas and in insulin pump.
Alternative Hypotheses: - glucose level in insulin pump is greater than in bionic pancreas.
Level of significance is 0.05
Test statistics
Conclusion Calculated test statistics is greater than critical value, therefore reject the null hypotheses, hence conclude that glucose level in insulin pump is greater than in bionic pancreas.
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Chapter 17 Solutions
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