researcher hypothesized that cytokinins and auxins supplied by tumor-inducing insects lead to the production of tumors in plants. She performed experiments in which she hypodermically injected green pepper plants to determine if she could induce tumors. In one experiment she varied the concentration of cytokinin and
researcher hypothesized that cytokinins and auxins supplied by tumor-inducing insects lead to the production of tumors in plants. She performed experiments in which she hypodermically injected green pepper plants to determine if she could induce tumors. In one experiment she varied the concentration of cytokinin and
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 24PPS
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Question
A researcher hypothesized that cytokinins and auxins supplied by tumor-inducing insects lead to the production of tumors in plants. She performed experiments in which she hypodermically injected green pepper plants to determine if she could induce tumors.
In one experiment she varied the concentration of cytokinin and the ratio of auxin concentration to cytokinin concentration. She used 3 concentrations of cytokinin and 6 ratios of auxin/cytokinin. The concentrations are indexed (1-3) with 3 indicating the highest concentration of cytokinin. The 6 ratios of auxin/cytokinin varied from 0.125 to 5.0 with values greater than 1 indicating that auxin was in greater concentration than cytokinin.
The resulting data are in the date file "auxcyt.csv". The measured sizes of the tumors induced (relative to controls) are given in the 3rd column ('sumdiffd'). Analyze these data testing the appropriate hypotheses and interpret the results. (Note the unequal sample sizes.)
auxcyt data
| Concentration | Ratio | summdiffd | |
|---|---|---|---|
| 1 | 1 | 0.125 | 0.016666667 |
| 2 | 1 | 0.125 | 0.020877193 |
| 3 | 1 | 0.125 | 0.005438596 |
| 4 | 1 | 0.125 | 0.012280702 |
| 5 | 1 | 0.125 | 0.018596491 |
| 6 | 1 | 0.200 | 0.017017544 |
| 7 | 1 | 0.200 | 0.027017544 |
| 8 | 1 | 0.200 | 0.012982456 |
| 9 | 1 | 0.200 | 0.024210526 |
| 10 | 1 | 0.200 | 0.015824561 |
| 11 | 1 | 0.200 | 0.040877193 |
| 12 | 1 | 0.500 | 0.019473684 |
| 13 | 1 | 0.500 | 0.015789474 |
| 14 | 1 | 0.500 | 0.027017544 |
| 15 | 1 | 0.500 | 0.023157895 |
| 16 | 1 | 0.500 | 0.017017544 |
| 17 | 1 | 1.000 | 0.022807018 |
| 18 | 1 | 1.000 | 0.023684211 |
| 19 | 1 | 1.000 | 0.024385965 |
| 20 | 1 | 1.000 | 0.020526316 |
| 21 | 1 | 1.000 | 0.005263158 |
| 22 | 1 | 1.000 | 0.021578947 |
| 23 | 1 | 3.000 | 0.020526316 |
| 24 | 1 | 3.000 | 0.042280702 |
| 25 | 1 | 3.000 | 0.015087719 |
| 26 | 1 | 3.000 | 0.027894737 |
| 27 | 1 | 3.000 | 0.033157895 |
| 28 | 1 | 3.000 | 0.023157895 |
| 29 | 1 | 5.000 | 0.042280702 |
| 30 | 1 | 5.000 | 0.015614035 |
| 31 | 1 | 5.000 | 0.031403509 |
| 32 | 1 | 5.000 | 0.028771930 |
| 33 | 1 | 5.000 | 0.035964912 |
| 34 | 1 | 5.000 | 0.026666667 |
| 35 | 2 | 0.125 | 0.021052632 |
| 36 | 2 | 0.125 | 0.029824561 |
| 37 | 2 | 0.125 | 0.048245614 |
| 38 | 2 | 0.125 | 0.039473684 |
| 39 | 2 | 0.125 | 0.017192982 |
| 40 | 2 | 0.125 | 0.029824561 |
| 41 | 2 | 0.200 | 0.021578947 |
| 42 | 2 | 0.200 | 0.021929825 |
| 43 | 2 | 0.200 | 0.015964912 |
| 44 | 2 | 0.200 | 0.030350877 |
| 45 | 2 | 0.200 | 0.020350877 |
| 46 | 2 | 0.200 | 0.017192982 |
| 47 | 2 | 0.500 | 0.022456140 |
| 48 | 2 | 0.500 | 0.032280702 |
| 49 | 2 | 0.500 | 0.044912281 |
| 50 | 2 | 0.500 | 0.028070175 |
| 51 | 2 | 0.500 | 0.019122807 |
| 52 | 2 | 0.500 | 0.021929825 |
| 53 | 2 | 0.500 | 0.022280702 |
| 54 | 2 | 1.000 | 0.020701754 |
| 55 | 2 | 1.000 | 0.024912281 |
| 56 | 2 | 1.000 | 0.032631579 |
| 57 | 2 | 1.000 | 0.042105263 |
| 58 | 2 | 1.000 | 0.021929825 |
| 59 | 2 | 1.000 | 0.023508772 |
| 60 | 2 | 3.000 | 0.022982456 |
| 61 | 2 | 3.000 | 0.034035088 |
| 62 | 2 | 3.000 | 0.028245614 |
| 63 | 2 | 3.000 | 0.039824561 |
| 64 | 2 | 3.000 | 0.043157895 |
| 65 | 2 | 3.000 | 0.028771930 |
| 66 | 2 | 5.000 | 0.022631579 |
| 67 | 2 | 5.000 | 0.044736842 |
| 68 | 2 | 5.000 | 0.018245614 |
| 69 | 2 | 5.000 | 0.032982456 |
| 70 | 2 | 5.000 | 0.013859649 |
| 71 | 2 | 5.000 | 0.032105263 |
| 72 | 3 | 0.125 | 0.027017544 |
| 73 | 3 | 0.125 | 0.028421053 |
| 74 | 3 | 0.125 | 0.014561404 |
| 75 | 3 | 0.125 | 0.026315789 |
| 76 | 3 | 0.125 | 0.047719298 |
| 77 | 3 | 0.125 | 0.021052632 |
| 78 | 3 | 0.200 | 0.051578947 |
| 79 | 3 | 0.200 | 0.044385965 |
| 80 | 3 | 0.200 | 0.017192982 |
| 81 | 3 | 0.200 | -0.007368421 |
| 82 | 3 | 0.200 | 0.025087719 |
| 83 | 3 | 0.200 | 0.020877193 |
| 84 | 3 | 0.500 | 0.033859649 |
| 85 | 3 | 0.500 | 0.053508772 |
| 86 | 3 | 0.500 | 0.009473684 |
| 87 | 3 | 0.500 | 0.069649123 |
| 88 | 3 | 0.500 | 0.039824561 |
| 89 | 3 | 0.500 | 0.016491228 |
| 90 | 3 | 1.000 | 0.048947368 |
| 91 | 3 | 1.000 | 0.057017544 |
| 92 | 3 | 1.000 | 0.032280702 |
| 93 | 3 | 1.000 | 0.038070175 |
| 94 | 3 | 1.000 | 0.054912281 |
| 95 | 3 | 1.000 | 0.043859649 |
| 96 | 3 | 3.000 | 0.033508772 |
| 97 | 3 | 3.000 | 0.028596491 |
| 98 | 3 | 3.000 | 0.047368421 |
| 99 | 3 | 3.000 | 0.025614035 |
| 100 | 3 | 3.000 | 0.049298246 |
| 101 | 3 | 5.000 | 0.056842105 |
| 102 | 3 | 5.000 | 0.053684211 |
| 103 | 3 | 5.000 | 0.048421053 |
| 104 | 3 | 5.000 | 0.042631579 |
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