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How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4 inches...

How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here are data from students doing a laboratory exercise:            

23869 30547 28028 28924 28190
26329 29429 27350 26715 24661
23632 27095 26458 24291 27478
26842 24833 32766 23013 28277

We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 2900 pounds.

Give a 95% confidence interval for the mean load required to pull the wood apart (give your answer with three decimal places).

The sample mean is _____ (give three decimal places)

95% confidence interval for the mean load is ___ to ____ .

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