A simple random sample of size n is drawn. The sample​ mean, x overbarx​, is found to be 18.718.7​, and the sample standard​ deviation, s, is found to be 4.44.4. LOADING... Click the icon to view the table of areas under the​ t-distribution. ​(a) Construct a 9595​% confidence interval about muμ if the sample​ size, n, is 3434.   Lower​ bound: 17.1617.16​; Upper​ bound: 20.2420.24 ​(Use ascending order. Round to two decimal places as​ needed.) ​(b) Construct a 9595​% confidence interval about muμ if the sample​ size, n, is 6161.   Lower​ bound: 17.5717.57​; Upper​ bound: 19.8319.83 ​(Use ascending order. Round to two decimal places as​ needed.) How does increasing the sample size affect the margin of​ error, E?

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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.