Carbon dioxide is known to have a critical effect on microbiological growth. Small amounts of CO2 stimulate growth of some organisms, whereas high concentrations inhibit the growth of most. The latter effect is used commercially when perishable food products are stored. A study is conducted to investigate the effect of CO2 on the growth rate of pseudomonas fragi, a food-spoiling organism. Carbon dioxide is administered at five predetermined different atmospheric pressures. The response measured was the percentage change in cell mass after 1-hour growing time. Ten cultures were used at each atmospheric pressure level, resulting in the following data: 0.0 .083 .29 .50 .86 62.6 50.9 45.5 29.5 24.9 59.6 44.3 41.1 22.8 17.2 64.5 47.5 29.8 19.2 7.8 59.3 49.5 38.3 20.6 10.5 58.6 48.5 40.2 29.2 17.8 64.6 50.4 38.5 24.1 22.1 50.9 35.2 30.2 22.6 22.6 56.2 49.9 27.0 32.7 16.8 52.3 42.6 40.0 24.4 15.9 62.8 41.6 33.9 29.6 8.8 a. State the statistical assumptions underlying this test. b. Write down the classification model for solving the above data.
Carbon dioxide is known to have a critical effect on microbiological growth. Small amounts of CO2 stimulate growth of some organisms,
whereas high concentrations inhibit the growth of most. The latter effect is used commercially when perishable food products are stored. A study is conducted to investigate the effect of CO2 on the growth rate of pseudomonas fragi, a food-spoiling organism. Carbon dioxide is administered at five predetermined different atmospheric pressures. The response measured was the percentage change in cell mass after 1-hour growing time. Ten cultures were used at each atmospheric pressure level, resulting in the following data:
|
0.0 |
.083
|
.29 |
.50 |
.86 |
|
62.6 |
50.9 |
45.5 |
29.5 |
24.9 |
|
59.6 |
44.3 |
41.1 |
22.8 |
17.2 |
|
64.5 |
47.5 |
29.8 |
19.2 |
7.8 |
|
59.3 |
49.5 |
38.3 |
20.6 |
10.5 |
|
58.6 |
48.5 |
40.2 |
29.2 |
17.8 |
|
64.6 |
50.4 |
38.5 |
24.1 |
22.1 |
|
50.9 |
35.2 |
30.2 |
22.6 |
22.6 |
|
56.2 |
49.9 |
27.0 |
32.7 |
16.8 |
|
52.3 |
42.6 |
40.0 |
24.4 |
15.9 |
|
62.8 |
41.6 |
33.9 |
29.6 |
8.8 |
a. State the statistical assumptions underlying this test.
b. Write down the classification model for solving the above data.
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