A lumber company is making boards that are 2899.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 19 board is made, and it is found that they had a mean of 2896.7 millimeters with a standard deviation of 9.0. a. Is there evidence at the 0.05 level that the boards are too short and and usable? Assume the population distribution is approximately normal.
b. Find the P-value for the hypotheses test. Round your answer to four decimal places.