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.   Determine the value of the p-value for this test.

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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.

 

Determine the value of the p-value for this test.

Round to 4 decimal places.

Note:  we know the population standard deviation (180 hours, see above). 

           This allows us to use the standard normal distribution.

Note:  Obtain the p-value from the second tab on the normal distribution excel spreadsheet. 

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