Question

Suppose that a forester wants to see if the average height of lodgepole pines in Yellowstone is different from the national average of 70 ft. The standard deviation lodgepole pine height is known to be 7.1 ft. The forester decides to measure the height of 23 trees in Yellowstone and use a one-sample z-test with a significance level of 0.01. She constructs the following null and alternative hypotheses, where u is the mean height of lodgepole pines in Yellowstone. Hou = 70 H:+ 70 Use software to determine the power of the hypothesis test if the true mean height of lodgepole pines in Yellowstone is 66 ft. You may find one of these software manuals useful. Write your answer in decimal form and round to three decimal places. power =

Answer 1

Solutions Given that Suppose that a forester wants to see if the average height of lodgepole in Yellowstone is different from the national average of Tale a> Standard deviation lodge pole rolft o the forest decides to measure the height of 21 faces Significance level.com Ho : 70=M Hill Fro Null hupofteris, Ho: u roft Alternate hypother's HiiMarolt O, 7.14 Sample Site se=23 Significance level 620.01 a) Tove mean height = Goht 4 power al-B cohere, pa probability of type I fources powers pxobcebility of making the costect the alternate hypothsis is doce

22시 (224- ) >Plz >20AE 2) ( 2 >z.. 니 7458) V 게 기 | =)` (z72.575 - 2-7018) = 1P2e-01268) 2) | 0-1522 205478 1 0.58),