Suppose that the lengths, in inches, of adult corn snakes are normally distributed with an unknown mean and standard deviation. A random sample of 38 snakes is taken and gives a sample mean of 53 inches and a sample standard deviation of 6 inches. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution. df...3435363738t0.10…1.3071.3061.3061.3051.304t0.05…1.6911.6901.6881.6871.686t0.025…2.0322.0302.0282.0262.024t0.01…2.4412.4382.4342.4312.429t0.005…2.7282.7242.7192.7152.712 Use the portion of the table above or a calculator.

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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.