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You have not defined M, but I will consider it is a statistic of the sample. For an random sample, the expected value of a statistic, will be a closer approximation to the parameter value of the population as the sample size increases. In more mathematical language, the measures of dispersion (standard deviation or variance) from the calculated statistic are expected to decrease as the sample size increases.

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Q: As the sample size increases what does the expected value of M do?
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What happens to the expected value of M as sample size increases?

Decreases


As the sample size increases the effect of an extreme value on the sample mean becomes smaller.?

yes


What term defined as the size of the association between two variables independent of the sample size?

There is no such term. The regression (or correlation) coefficient changes as the sample size increases - towards its "true" value. There is no measure of association that is independent of sample size.


Does the distribution of sample means have a standard deviation that increases with the sample size?

No, it is not.


As the sample size increases the standard deviation of the sampling distribution increases?

No.


How does sample size affect the size of your standard error?

The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.


What happens to the sample mean as the sample size increases?

With a good sample, the sample mean gets closer to the population mean.


What increases the chances of rejecting null hypothesis?

sample size


Is The standard deviation of all possible sample proportions increases as the sample size increases?

The standard deviation would generally decrease because the large the sample size is, the more we know about the population, so we can be more exact in our measurements.


What happens to the crtitical value for a chi square test if the size of the sample is increased?

The size of the sample should not affect the critical value.


Will the standard error decrease if the sample size increases?

it should decrease


Can increasing sample size reduce random error?

Random error and sample size have an inverse relationship...As sample size INCREASES random error DECREASES. There's a good explanation at the related link.