Questions for Bot
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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?
The total number of residents polled is 500 + 500 = 1000.
The total number of residents who would vote for Candidate A is 346 + 248 = 594.
The percentage of the total polled residents who would vote for Candidate A is (594/1000) * 100% = 59.4%.
Therefore, approximately 59.4% of the total polled residents would vote for Candidate A as the town mayor.
Thanks! I have a nother one for you:
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?
Here are the math quiz scores for Student 1 and Student 2.
Student 1: 75 80 84 79 92 86 88 86 86 90
Student 2: 83 85 91 93 72 85 76 80 82 89
Find the range of each student’s math quiz scores. Based on the range, which student performed more consistently on their math quizzes?
The range of Student 1’s math quiz scores is *Blank*
. The range of Student 2’s math quiz scores is *Blank*
. Based on the range, Student *Blank*
performed more consistently on the math quizzes.
To find the range of a set of data, we subtract the smallest value from the largest value.
For Student 1:
92 - 75 = 17
So the range of Student 1’s math quiz scores is 17.
For Student 2:
93 - 72 = 21
So the range of Student 2’s math quiz scores is 21.
A smaller range generally indicates greater consistency because it means that the scores are clustered more closely together, while a larger range means that there is a greater difference between the highest and lowest scores.
Therefore, based on the ranges, Student 1 performed more consistently on the math quizzes, as their scores had a smaller range.
Thanks Bot!
You're welcome! If you have any more questions, feel free to ask.
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The numbers of miles Ron biked are 31, 35, 49, 32, 45, 29, 33, 28, and 40.
Determine the range of this data set.
To determine the range of a set of data like this, we subtract the smallest value from the largest value.
The smallest value in this data set is 28, and the largest value is 49. Therefore, the range of the data set is:
49 - 28 = 21
So the range of the data set is 21 miles.
Which of the following data sets has the smallest range?
Responses
{37, 19, 40, 54, 75, 68}
{50, 30, 10, 0, 80, 100}
{324, 318, 367, 312, 389, 337}
{148, 145, 117, 148, 199, 172}
To determine which of the given data sets has the smallest range, we need to find the range for each of the data sets. The range is obtained by subtracting the smallest value from the largest value in each data set.
For the first data set {37, 19, 40, 54, 75, 68}, the smallest value is 19 and the largest value is 75. Therefore, the range is:
75 - 19 = 56
For the second data set {50, 30, 10, 0, 80, 100}, the smallest value is 0 and the largest value is 100. Therefore, the range is:
100 - 0 = 100
For the third data set {324, 318, 367, 312, 389, 337}, the smallest value is 312 and the largest value is 389. Therefore, the range is:
389 - 312 = 77
For the fourth data set {148, 145, 117, 148, 199, 172}, the smallest value is 117 and the largest value is 199. Therefore, the range is:
199 - 117 = 82
Therefore, the data set with the smallest range is the first one, which has a range of 56.
The data from two random samples of 200 people regarding their favorite nuts is shown in the following table.
Almond Pistachio Cashew Walnuts Total
Sample 1 40 62 63 35 200
Sample 2 43 64 61 32 200
Based on the two samples, what percentage of the people prefer cashew nuts?
To find the percentage of people who prefer cashew nuts, we need to add up the number of people who prefer cashew nuts in each of the two samples, and then add the two numbers together to get the total number of people who prefer cashew nuts. We can then divide this total by the total number of people in both samples and multiply by 100% to get the percentage.
The number of people who prefer cashew nuts in Sample 1 is 63, and in Sample 2 it is 61. So the total number of people who prefer cashew nuts is:
63 + 61 = 124
The total number of people in both samples is:
200 + 200 = 400
So the percentage of people who prefer cashew nuts is:
(124/400) x 100% = 31%
Therefore, approximately 31% of the people prefer cashew nuts based on the two samples.
Thank you very much bot.
You're welcome! If you have any more questions, feel free to ask.
Ok! Here's one:
The following data sets represent the highway fuel efficiency in miles per gallon (mpg) of randomly selected cars from two car companies. Which company has cars that are more consistent in highway fuel efficiency?
Car Company A: 35, 28, 35, 30, 31, 36, 35, 30
Car Company B: 29, 33, 40, 27, 34, 34, 34, 25
To determine which company has cars that are more consistent in highway fuel efficiency, we can compare the ranges of the two data sets. A smaller range usually indicates greater consistency, as it means that the data points are more tightly clustered together.
For Car Company A, the range is:
36 - 28 = 8
For Car Company B, the range is:
40 - 25 = 15
So, we can see that Car Company A has a smaller range, which means its cars are more consistent in highway fuel efficiency.
Therefore, Car Company A has cars that are more consistent in highway fuel efficiency than Car Company B.
So from that question, which one is correct?:
1. Cars from both companies have equally consistent highway fuel efficiency.
2. Car Company A is more consistent, because the range of highway fuel efficiency of its cars is higher than that of Car Company B.
3. Car Company B is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company A.
4. Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.
The correct answer is option 4. Car Company A is more consistent with the highway fuel efficiency of its cars than Car Company B because it has a smaller range. This means that the highway fuel efficiency of the cars from Car Company A is more closely clustered around the mean compared to the highway fuel efficiency of the cars from Car Company B.
The randomly selected delivery times, in minutes, of two restaurants are as follows. Which restaurant has more consistent delivery times?
Restaurant 1 Restaurant 2
40 42
37 38
40 37
41 39
38 38
46 40
41 42
37 41
40 40
Responses
1. Restaurant 2 is more consistent, because the range of its delivery times is higher than that of Restaurant 1.
2. Restaurant 1 is more consistent, because the range of its delivery times is lower than that of Restaurant 2.
3. Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.
4. The delivery times of both restaurants are equally consistent.
To determine which restaurant has more consistent delivery times, we can compare the ranges of the two data sets. A smaller range usually indicates greater consistency, as it means that the data points are more tightly clustered together.
For Restaurant 1, the range is:
46 - 37 = 9
For Restaurant 2, the range is:
42 - 37 = 5
So, we can see that Restaurant 2 has a smaller range, which means its delivery times are more consistent.
Therefore, the correct answer is Option 3: Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.
Thank you so much! Bye, I have to go now.
You're welcome! Feel free to ask me any questions in the future. Goodbye!
To find the mean height of the first set of trees, we take the sum of their heights and divide by the total number of trees:
(85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2)/10 = 85.48 feet
To find the mean height of the second set of trees, we take the sum of their heights and divide by the total number of trees:
(87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3)/10 = 85.32 feet
The difference between the mean heights of the two sets of trees is:
85.48 - 85.32 = 0.16 feet
Therefore, the difference between the mean heights of the two sets of trees is approximately 0.16 feet.