Asked by Ermina Coronas on Apr 27, 2024
Verified
Holding all else constant, as sample size increases, the value of the standard error of the mean ______.
A) increases
B) decreases
C) stays the same
D) explodes
Standard Error
The standard deviation of the sampling distribution of a statistic, commonly the mean.
Sample Size
The number of observations or data points collected in a study, used to make inferences about a population.
- Recognize how sample size affects the standard error of the mean.
Verified Answer
MA
Maryjane AbalihiMay 02, 2024
Final Answer :
B
Explanation :
The standard error of the mean (SEM) is equal to the standard deviation (SD) divided by the square root of the sample size. As sample size increases, the denominator (square root of the sample size) increases, resulting in a smaller value for SEM. Therefore, as sample size increases, the value of SEM decreases.
Learning Objectives
- Recognize how sample size affects the standard error of the mean.
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