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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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