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)
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.
The correct answer was 0.04
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)
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.
That is incorrect.
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.