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A carpenter is making doors that are 2058.0 millimeters tall. If the doors are to0 long they must be trimmed, and if they are

 

A carpenter is making doors that are 2058.0 millimeters tall. If the doors are to0 long they must be trimmed, and if they are too short they cannot be used. A sample of 18 doors is made, and it is found that they have a mean of 2045.0 millimeters with a standard deviation of 14.0. Is there evidence at the 0.1 level that the doors are either too long or too short? Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the doors are either too long or too short?

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