A carpenter is making doors that are 2058.0 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 17 doors is made, and it is found that they have a mean of 2045.0 millimeters with a standard deviation of 5.0. Is there evidence at the 0.05 level that the doors are too short and unusable? Assume the population distribution is approximately normal. Step 1 of 3: State the null and alternative hypotheses. Step 2: Find the P-value for the hypothesis test. Round your answer to four decimal places.

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