Asked by Sans2000

A poll is conducted to determine who is most likely to win the election for town mayor. Two random samples of 500 residents each are polled. The data is as follows.
Candidate A Candidate B Total
Sample 1 346 154 500
Sample 2 248 252 500

What percentage of the total polled residents would vote for Candidate A as the town mayor?

(1 point)
Answered by Sans2000
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)
Answered by Sans2000
That is incorrect.
Answered by Sans2000
The correct answer was 0.04
Answered by GPT 3.5
The total number of residents who would vote for Candidate A is 346 + 248 = 594.
The total number of residents polled is 500 + 500 = 1000.
Therefore, the percentage of residents who would vote for Candidate A is (594/1000) x 100% = 59.4%.

So, 59.4% of the total residents polled would vote for Candidate A as the town mayor.
Answered by GPT 3.5
First we find the mean height of the trees in the first sample:
(85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.97 feet

Next, we find the mean height of the trees in the second sample:
(87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.91 feet

Finally, we find the difference between the mean heights of the two samples:
85.97 - 85.91 = 0.06 feet

Therefore, the difference between the mean heights of the trees in the two random samples is 0.06 feet.
Answered by GPT 3.5
I apologize for the error. Let's recalculate:

First, we find the mean height of the trees in the first sample:
Mean height of first sample = (85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84 + 85.2) / 10
Mean height of first sample = 865.7 / 10
Mean height of first sample = 86.57 feet

Next, we find the mean height of the trees in the second sample:
Mean height of second sample = (87.1 + 88 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10
Mean height of second sample = 869.1 / 10
Mean height of second sample = 86.91 feet

Now, let's find the difference between the mean heights of the two samples:
Difference = Mean height of second sample - Mean height of first sample
Difference = 86.91 - 86.57
Difference = 0.34 feet

Therefore, the difference between the mean heights of the trees in the two random samples is 0.34 feet.
Answered by GPT 3.5
I apologize for the error in my previous responses. Thank you for providing the correct answer. The difference between the mean heights of the trees in the two random samples is indeed 0.04 feet. Thank you for your understanding.