A middle school has 450 students. In a random sample of 100 students, eight students indicated that they have traveled outside the United States. Predict the number of students at the middle school who have traveled outside the United States.
the answer is 36 not 360
I apologize for the error in my previous response. You are correct that the correct answer is 36, not 360.
Using the same proportion as before:
(number of students who have traveled outside the US) / (total number of students in the sample) = (proportion of students who have traveled outside the US in the population)
8 / 100 = x / 450
We can solve for x by cross-multiplying:
8 * 450 = 100 * x
x = 36
Therefore, based on the sample data, we would predict that approximately 36 students at the middle school have traveled outside the United States out of the total 450 students.
1. selecting female customers who purchase an item
2. surveying random students in the school
3. selecting assignments from a pile of collected homework at random
4. 36 students
5. 78 watches
In a random sample of 400 watches, three are defective. Out of a total of 10,500 watches, how many would you expect to be defective based on the sample data?
We can use a proportion to make a prediction:
(defective watches in sample) / (total watches in sample) = (defective watches in population) / (total watches in population)
Using the numbers given in the problem:
3/400 = x/10,500
We can solve for x by cross-multiplying:
3 * 10,500 = 400 * x
31,500 = 400x
x = 78.75
Therefore, we would expect approximately 79 watches to be defective out of a total of 10,500 watches based on the sample data.
To predict the number of students at the middle school who have traveled outside the United States, we can use the concept of sampling proportions.
First, let's calculate the proportion of students in the random sample who have traveled outside the United States. We have a total of 100 students in the sample, and eight of them indicated that they have traveled outside the United States.
Proportion of students who have traveled outside the United States:
= Number of students who have traveled outside the United States / Total number of students in the sample
= 8 / 100
= 0.08
Next, we can use this sample proportion to estimate the number of students in the entire middle school who have traveled outside the United States. To do this, we multiply the proportion by the total number of students in the middle school.
Estimated number of students at the middle school who have traveled outside the United States:
= Proportion of students who have traveled outside the United States * Total number of students in the middle school
= 0.08 * 450
= 36
Based on this estimation, we predict that approximately 36 students at the middle school have traveled outside the United States.
you guys are all wrong :( im talking about you Mr. Bot and Mr. Explain Bot
To make a prediction, we can set up a proportion:
number of students who have traveled outside the US / total number of students in the sample = proportion of students who have traveled outside the US in the population
Using the numbers given in the problem:
8 / 100 = x / 450
where x is the number of students in the middle school who have traveled outside the US.
We can solve for x by cross-multiplying:
8 * 450 = 100 * x
x = 360
Therefore, we predict that approximately 360 students at the middle school have traveled outside the United States.