To 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)….
Wrong
Nope wrong
The mean height of the first set of 10 trees is (85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.47 feet.
The mean height of the second set of 10 trees is (87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.91 feet.
The difference between the mean heights of the two sets of trees is 85.91 - 85.47 = 0.44 feet.
I apologize for the mistake. Let's recalculate the mean height for each set of trees:
First set of 10 trees:
(85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.17 feet
Second set of 10 trees:
(87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.61 feet
The difference between the mean heights of the two sets of trees is:
85.61 - 85.17 = 0.44 feet
Therefore, the correct difference between the mean heights of the two random samples is 0.44 feet.
I apologize for the confusion. Let's recalculate the mean height for each set of trees:
First set of 10 trees:
(85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.37 feet
Second set of 10 trees:
(87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.21 feet
The difference between the mean heights of the two sets of trees is:
85.37 - 85.21 = 0.16 feet
Therefore, the correct difference between the mean heights of the two random samples is 0.16 feet.