Forest rangers wanted to better understand the rate of growth for younger trees in the park. They took measurements of a random sample of 50 young trees in 2009 and again measured those same trees in 2019. The data below summarize their measurements, where the heights are in feet: 3. 2009 2019 Differences 12.0 24.5 12.5 3.5 9.5 7.2 50 50 50 Construct a 99% confidence interval for the average growth of (what had been) younger trees in the park over 2009-2019. Assume conditions for inference are satisfied.