Asked by tommy lindberg on Apr 26, 2024
Verified
Doubling the size of the sample will
A) reduce the standard error of the mean to one-half its current value.
B) reduce the standard error of the mean to approximately 70% of its current value.
C) have no effect on the standard error of the mean.
D) double the standard error of the mean.
Standard Error
A statistical measure that quantifies the amount of variability in the sampling distribution of a statistic, often used in the context of mean or proportion.
Sample Size
The number of observations or data points that form part of a sample taken from a larger population for the purpose of statistical analysis.
- Understand the concept and importance of standard error in statistical inference.
Verified Answer
BA
besmillah aahangaranApr 29, 2024
Final Answer :
B
Explanation :
The standard error of the mean is inversely proportional to the square root of the sample size. So, if the sample size is doubled, the square root of 2 is approximately 1.4, which means the standard error will be reduced to approximately 70% (i.e., 1/1.4) of its current value.
Learning Objectives
- Understand the concept and importance of standard error in statistical inference.