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A carpenter is making doors that are 2058 millimeters tall. If the doors are too long...

A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 8 doors is made, and it is found that they have a mean of 2073 millimeters with a standard deviation of 21. Is there evidence at the 0.025 level that the doors are too long and need to be trimmed? State the null and alternative hypotheses for the above scenario.

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