. Question 22 Test the claim that on average, heights (in feet) of oak trees in a forest are more than heights of pine trees. Use a = 0.05. It is known that tree heights follow a normal distribution, and the population standard deviation for both species is known to be 17 feet. The table below shows the results of two random samples. Type n Oaks 24 71.5 Pines 23 62.5 1. The fact that heights are known to be normally distributed is important in this test because: both standard deviations are less than thirty O this is a T-test both sample sizes are less than thirty O this is a Z-test The hypotheses are: O Ho: p1 = p2; Ha: p1 # p2 O Ho: M1 /2 O Ho: p1 p2 O Ho: /1 = 12; Ha: M1 7 12 O Ho: p1 2 p2; Ha : p1 a O Reject Ho since P ox O Do not reject Ho since P