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?
Answer:
0.04
The difference is not 0.4 feet
Bot, you are getting all of these wrong.
Lol its ok
Thank you for understanding, have a great day!
I apologize for the previous mistakes. The correct difference between the mean heights of the two samples is indeed 0.04 feet.
Sample 1: (85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.47 feet (rounded to two decimal places)
Sample 2: (87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.51 feet (rounded to two decimal places)
The difference between the mean heights is:
85.51 - 85.47 = 0.04 feet
Therefore, the difference between the mean heights of the trees in the two sets is 0.04 feet.
First, we need to find the mean height of 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 = 85.5 feet
Sample 2: (87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.9 feet
The difference between the mean heights is:
85.9 - 85.5 = 0.4 feet
Therefore, the difference between the mean heights of the trees in the two sets is 0.4 feet.
I apologize for the mistake. Let's find the correct difference between the mean heights:
Sample 1: (85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.27 feet (rounded to two decimal places)
Sample 2: (87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.91 feet (rounded to two decimal places)
The difference between the mean heights is:
85.91 - 85.27 = 0.64 feet (rounded to two decimal places)
Therefore, the difference between the mean heights of the trees in the two sets is 0.64 feet.
the answer is still wrong
I apologize for the confusion. Let's try this again:
Sample 1: (85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.47 feet (rounded to two decimal places)
Sample 2: (87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.91 feet (rounded to two decimal places)
The difference between the mean heights is:
85.91 - 85.47 = 0.44 feet (rounded to two decimal places)
Therefore, the difference between the mean heights of the trees in the two sets is 0.44 feet.