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 20

doors is made, and it is found that they have a mean of 2071.0

millimeters with a variance of 1156.00. Is there evidence at the 0.01 level that the doors are too long and need to be trimmed? Assume the population distribution is approximately normal.

Step2of5:Find the value of the test statistic. Round your answer to three decimal places.