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Is there evidence at the 005 level that the boards are too

A lumber company is making boards that are 2767 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 37 boards is made, and it is found that they have a mean of 2763.3 millimeters with a standard deviation of 15. Is there evidence at the 0.05 level that the boards are too short and unusable?

State the null and alternative hypotheses for the above scenario.

(H0: , Ha: )

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Basic Statistics: Is there evidence at the 005 level that the boards are too

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