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A lumber company is making boards that are 2839 millimeters tall. If the boards are too long they must be trimmed, and if they are

A lumber company is making boards that are 2839 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 301 boards is made, and it is found that they have a mean of 2837.7 millimeters with a standard deviation of 1616. Is there evidence at the 0.1 level that the boards are too short and unusable?

State the null and alternative hypotheses for the above scenario.

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