Question

2. (10 points): Based on a sample data of 100 children, mean age of children in the summer camp is 11.5 yon in standard deviation 2 vears. According to previous research, population standard deviation is 3 years. Estimate he average age of children in whole population (all children in all summer camps). Population size is 5600 ) (2 points) Find the point estimation for population variance. b) (2 points) With 95% confidence, what is the margin of error? With 99% confidence, what is the margin of error? camps)? (2 points) What is the 95% confidence interval estimate of the population mean (mean children age in all summer c) (4 points) What would happen to the confidence interval in case of larger sample? Would the confidence interval become wider or narrower? Why? Assume that the confidence level remains the same d) maximum tolerable error (acceptable margin of error) + 2 years? Why? Bonus question (4 points): Do you agree or disagree with the claim that the used sample is too small to grant