In: Statistics and Probability
A lumber company is making boards that are 2979 2979 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 26 26 boards is made, and it is found that they have a mean of 2979.5 2979.5 millimeters with a standard deviation of 15 15 . Is there evidence at the 0.025 0.025 level that the boards are too long and need to be trimmed? State the null and alternative hypotheses for the above scenario.
Let denotes the true average length of boards.
Conclusion : There is not sufficient evidence to conclude that the boards are too long and need to be trimmed.