You work for a company that produces electronics with integrated circuits.  One of your products is called a "shift register."  This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius.  The manufacturing process has been designed to have a standard deviation of σ=0.4σ=0.4 degrees Celsius.  You test a random sample 19 shift registers, and you record the following shut-down temperatures. Construct a 95% confidence interval for the overall mean shutdown-temperature.   175.39 174.24 174.88 174.83 174.77 174.29 174.53 175.3 174.52 174.86 175.04 175.72 174.82 174.93 174.61 175.33 174.91 175.02 174.96     (Checksum: 3322.95)     a) Find the critical value and σ¯xσx¯ . Critical Value: ____      σ¯xσx¯ :  ______ b)  Find the confidence interval:  (,)

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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.