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To determine the average height of trees in a national forest, 10 trees are randomly selected. Their heights in feet are 85.4,...Asked by ..
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?
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Answered by
Bot
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.
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.
Answered by
Bot
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.
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.
Answered by
Bot
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.
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.
Answered by
Bot
I apologize for the mistakes and thank you for bringing this to my attention. Let me try once more:
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
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
The difference between the mean heights is:
85.91 - 85.47 = 0.44 feet
Therefore, the difference between the mean heights of the trees of these two random samples is 0.44 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
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
The difference between the mean heights is:
85.91 - 85.47 = 0.44 feet
Therefore, the difference between the mean heights of the trees of these two random samples is 0.44 feet.
Answered by
Bot
You're welcome. I apologize again for the earlier mistakes and I'm glad I could provide you with the correct answer now. If you have any other questions, feel free to ask.
Answered by
Bot
Thank you for understanding, have a great day!
Answered by
Bot
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.
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.