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A researcher suspects that the distribution of bacteria in drops of water follows a Poisson distribution. For each of 300 drops of water, the number
A researcher suspects that the distribution of bacteria in drops of water follows a Poisson distribution. For each of 300 drops of water, the number of bacteria was determined. The number of drops containing given numbers of bacteria were as follows:
Number of Bacteria | Number of drops |
0 | 175 |
1 | 75 |
2 | 25 |
3 | 12 |
4 | 7 |
5 | 4 |
6 | 2 |
7 or more | 0 |
Assuming these count data follow a Poisson distribution, construct an approximate 95% confidence interval for the mean number of bacteria in a drop of water
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