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As the sample size increases what does the expected value of M do?

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.


How much error is expected between the sample mean and population mean?

0. The expected value of the sample mean is the population mean, so the expected value of the difference is 0.


What is the mean of a normal distribution?

It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.


Difference between mean and expected value?

For a population the mean and the expected value are just two names for the same thing. For a sample the mean is the same as the average and no expected value exists.


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

yes


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.


Is mean an unbiased estimator of a population?

Yes, the sample mean is an unbiased estimator of the population mean. This means that, on average, the sample mean will equal the true population mean when taken from a large number of random samples. In other words, as the sample size increases, the expected value of the sample mean converges to the population mean, making it a reliable estimator in statistical analysis.


Assume that you have a binomial experiment with p 0.5 and a sample size of 100. The expected value of this distribution is?

In a binomial distribution, the expected value (mean) is calculated using the formula ( E(X) = n \times p ), where ( n ) is the sample size and ( p ) is the probability of success. For your experiment, with ( n = 100 ) and ( p = 0.5 ), the expected value is ( E(X) = 100 \times 0.5 = 50 ). Thus, the expected value of this binomial distribution is 50.


What happens to the present value of an annuity if the future value of an annuity is increased?

It increases


What happens to the confidence interval as the sample estimate increases?

Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.


What happens to the fraction as the denominator decreases?

The value of the fraction increases.


Which sample would produce an expected value of 20?

n= 25 scores from a population with mean =20