Question

To determine the average height of trees in a national forest , 10 trees are randomly selected. Their heights in feet are 85.4 , 87.1 , 85.6 , 85.9 , 85.3, 84.9, 83.7 , 84.0 , and 85.2 . To ensure the accuracy of the data , another set of trees is randomly selected. Their heights are 87.1 , 88.0, 84.2,85.3,87.5,84.2,85.3,86.5,84.2,83.2,84.1,85.2,and 87.3. What is the difference between the mean heights of the trees of these two random samples ?

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we need to calculate the mean height of the first sample:

(85.4 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 9 = 85.3 feet

Next, we need to calculate the mean height of the second sample:
(87.1 + 88.0 + 84.2 + 85.3 + 87.5 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 13 = 85.1 feet

Finally, we need to find the difference between the mean heights of the two samples:
85.3 - 85.1 = 0.2 feet

Therefore, the difference between the mean heights of the two random samples is 0.2 feet.