Please with written down step by step (no computer solution) thanks!

worded conclusion. Show all your work. 5. We take a random sample of 27 trees in a large forest and measure their heights. The sample mean is calculated to be 28.4 feet and the sample standard deviation is calculated to be 5 feet. Tree heights in the forest are known to follow a normal distribution. Perform a hypothesis test at the 2% level of significance to determine if there is evidence that the true mean height of all trees in the forest is less than 30 feet. Show all your steps, including the hypotheses, the test statistic, the P-value, and the correctly worded conclusion