As the size of the sample is increased,the standard deviation of the sampling distribution of the sample mean for a normally distributed population will stay the same.

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Quizplus · Accepted Answer

As the size of the sample is increased, the standard deviation of the sampling distribution of the sample mean, also known as the standard error, decreases. This is because the standard error is inversely related to the square root of the sample size.

As the Size of the Sample Is Increased,the Standard Deviation