A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10. a, construct a 95% confidence interval about u if the sample size, n, is 18. b, construct a 95% confidence interval about u if the sample size, n, is 26. c, construct a 98% confidence interval about u if the sample size, n, is 18. d, could we have computed the confidence intervals in parts (A)-(C) if the population had not been normally distributed?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.