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Confidence Interval) The average number of mosquitos caught in 81 mosquito traps in a particular environment...

Confidence Interval) The average number of mosquitos caught in 81 mosquito traps in a particular environment was 900 per trap. The standard deviation of mosquitos caught in the

entire population of traps is 100 mosquitos. What is the 95 % confidence interval for the true mean number of mosquitos caught in all mosquito traps?

Math   Statistics-And-Probability   
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Answer #1

Given that, sample size ( n ) = 81

sample mean = 900 per trap and

population standard deviation = 100

A 95% confidence level has significance level of 0.05 and critical value is,

The 95% confidence interval for population mean is,

Therefore, the 95 % confidence interval for the true mean number of mosquitos caught in all mosquito traps is (878.2222, 921.7778)

Note: if you want answer to the nearest integer then 95% C.I. is , (878, 922) mosquito traps

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