Two-tailed Test

A farmer knows from experience that the height of apple trees is normally distributed with mean of \(2.7\) m and standard deviation \(0.7\) m. He buys a new orchard and wants to test whether the average height of apple trees is different. He assumes that the standard deviation of heights is still \(0.7\) m. He measures the heights of \(45\) trees and finds their average to be \(2.3\) m. Test at \(10\%\) level of significance, the outcome of the test.