I have a representative sample token on area of 60 mq (squared meter) of a territory of 54077 mq. This sample contains the number of little plants that there are for each mq. The sample is defined in R as:
s=c(13,7,10,4,28,0,10,0,0,0,0,0,0,0,0,0,6, 0,0,0,0,0,0,0,4,0,0,0,4,0,0,0,1,2,2,0, 2,3,3,3,1,3,12,33,1,31,0,1,21,0,3,1,8, 0,1,1,6,0,2,0)
The sum of
s is 227.
To compute the CI of
s I used a
t.test (also it is not a normal distribution: it is not that my problem).
t.test(s) t = 3.9606, df = 59, p-value = 0.0002039 mean of s = 3.783333 - 95 % confidence interval: 1.871905 - 5.694762
My question is:
Can I assume that the CI of number of plant in the entire territory is between $1.871905\times 227\times (54077/60) - 5.694762\times 227\times (54077/60)$?
I think NO because the count is very simplified but I hope YES.