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A lumber company is making boards that are2777.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too

A lumber company is making boards that are2777.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of29 boards is made, and it is found that they have a mean of2780.9 millimeters with a standard deviation of12.0. Is there evidence at the0.1level that the boards are either too long or too short? Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the boards are either too long or too short?

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