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gung - Reinstate Monica
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When sampling from a population, Why doesn't increasing N guarantee the sample mean will always beget closer to the population mean as the sample size increases?

When sampling from a population, the sample mean will always be closer to the population mean as the sample size increases.

When sampling from a population, the sample mean will always be closer to the population mean as the sample size increases.

Why is this statement wrong?

My explanation is that as sample size increases,the the standard error decreases and the sampling distribution will become normal.Am i Am I right?

When sampling from a population, the sample mean will always be closer to the population mean as the sample size increases

When sampling from a population, the sample mean will always be closer to the population mean as the sample size increases.

Why is this statement wrong?

My explanation is that as sample size increases,the standard error decreases and the sampling distribution will become normal.Am i right?

Why doesn't increasing N guarantee the sample mean will get closer to the population mean?

When sampling from a population, the sample mean will always be closer to the population mean as the sample size increases.

Why is this statement wrong?

My explanation is that as sample size increases, the standard error decreases and the sampling distribution will become normal. Am I right?

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user2059072
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When sampling from a population, the sample mean will always be closer to the population mean as the sample size increases

When sampling from a population, the sample mean will always be closer to the population mean as the sample size increases.

Why is this statement wrong?

My explanation is that as sample size increases,the standard error decreases and the sampling distribution will become normal.Am i right?