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2. Based on a sample data of 64 children mean age of children in the summer...

2.
Based on a sample data of 64 children mean age of children in the summer camp A is 12,4 years with Standard deviation 3 years. Estimate the average age of children in whole population. Population size is 8100

a) Find the point estimation for average age
b) With 95% confidence, what is the margin of error? With 90% confidence, what is the margin of error?
c) What is the 95% confidence interval estimate of the population mean (mean children age in all summer camps)?
d) What would happen to the confidence interval if the confidence level would be increased to 99%? Would the confidence interval become wider or narrower? Why? Assume that the sample size remains the same.
e) Do you agree or disagree with the claim that the used sample is too small to guarantee maximum tolerable error (acceptable margin of error) +-2 yers? Why?

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