6.116 Power of the random north–south distribution of trees test. In Exercise 6.70 (page 382), you performed a two-sided significance test of the null hypothesis that the average north–south location of the longleaf pine trees sampled in the Wade Tract was μ = 100. There were 584 trees in the sample and the standard deviation was assumed to be 58. The sample mean in that analysis was . Use the Statistical Power applet to compute the power for the alternative μ = 99 using a two-sided test at the 5% level of significance.