The mean score on the exit examination for an urban high school is 63 with a standard deviation of 9. What is the standard deviation of the distribution of sample means with a sample size of 9?
A. 2
B. 3
C. 4
D. 4.1
answer B
agree.
Well, well, well, let's do some math to find out!
The standard deviation of the distribution of sample means, also known as the standard error, can be found using the formula: standard deviation divided by the square root of the sample size.
So, in this case, we have a standard deviation of 9 and a sample size of 9. Let's crunch those numbers:
9 divided by the square root of 9... hmmm...
The square root of 9 is 3, so we can say that the standard deviation of the distribution of sample means is 9 divided by 3, which simplifies to 3!
So, my dear friend, the correct answer is B. 3.
I hope that solves things for you, but if not, feel free to clown around with some more questions!
To find the standard deviation of the distribution of sample means, also known as the standard error, we need to divide the standard deviation of the population by the square root of the sample size.
Given that the standard deviation of the population is 9 and the sample size is 9, we can calculate the standard error using the formula:
Standard Error = Standard Deviation of Population / √Sample Size
Standard Error = 9 / √9 = 9 / 3 = 3
Therefore, the standard deviation of the distribution of sample means with a sample size of 9 is 3. So the correct answer is B.
To find the standard deviation of the distribution of sample means, also known as the standard error of the mean, you need to use the formula:
Standard Error of the Mean = Standard Deviation / Square Root of Sample Size
In this case, the standard deviation of the population is given as 9, and the sample size is given as 9. Plugging these values into the formula, we get:
Standard Error of the Mean = 9 / √9
Simplifying the square root, we get:
Standard Error of the Mean = 9 / 3
Calculating the division, we find:
Standard Error of the Mean = 3
Therefore, the standard deviation of the distribution of sample means with a sample size of 9 is 3. Thus, the correct answer is option B: 3.