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

A carpenter is making doors that are 2058millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 34 doors is taken, and it is found that they have a mean of 2048 millimeters. Assume a population variance of 441. Is there evidence at the 0.1level that the doors are too short and unusable?

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State the null and alternative hypotheses.

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