Asked by misser focks on Jul 28, 2024
Verified
If you have a sample size of 16 and a population standard deviation of 40,what is your standard error of the mean?
A) -10
B) 10
C) 5
D) -5
Population Standard Deviation
The population standard deviation is a measure of the dispersion or spread of a set of values within a population, quantifying how much the values differ from the population mean.
Square Root
A value that, when multiplied by itself, gives the original number, representing the inverse operation of squaring.
- Compute the standard error of the mean (SEM) and comprehend its importance in Z-test applications.
- Comprehend how the size of the sample and the standard deviation of the population influence the standard error of the mean.
Verified Answer
MP
Marisol PedrozaAug 02, 2024
Final Answer :
B
Explanation :
The formula for standard error of the mean is:
Standard Error of the Mean = (Population Standard Deviation) / √(Sample Size)
Plugging in the values, we get:
Standard Error of the Mean = 40 / √16 = 40 / 4 = 10
Therefore, the standard error of the mean is 10, which is option B.
Standard Error of the Mean = (Population Standard Deviation) / √(Sample Size)
Plugging in the values, we get:
Standard Error of the Mean = 40 / √16 = 40 / 4 = 10
Therefore, the standard error of the mean is 10, which is option B.
Learning Objectives
- Compute the standard error of the mean (SEM) and comprehend its importance in Z-test applications.
- Comprehend how the size of the sample and the standard deviation of the population influence the standard error of the mean.