o determine the average height of trees in a national forest, 10 trees are randomly selected. Their heights in feet are 85.4, 87.6, 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 10 trees is randomly selected. Their heights are 87.1, 88.0, 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?(1 point)

Question

feet

Answer 1

To find the mean height of each sample, add up all the heights and divide by the number of trees in each sample:

Sample 1:
(85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 858.7 / 10 = 85.87 feet

Sample 2:
(87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 865.2 / 10 = 86.52 feet

The difference in the mean heights is:
86.52 - 85.87 = 0.65 feet

Therefore, the difference between the mean heights of the two random samples is 0.65 feet.