A consumer electronics firm has developed a new type of remote control button that is designed to operate longer before becoming intermittent.  The best button on the market lasts an average of 1200 hours.  A random sample of 36 new buttons is selected and each is tested in continuous operation until becoming intermittent.  The resulting lifetime of each button was recorded and found to have a sample mean of 1275 hours.   Assume the standard deviation of the lifetimes of all new buttons is 180 hours.  Determine the value of the appropriate test statistic to perform this test.

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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.