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What happens to the sample statistic if the population size is larger than the sample size?

When the population size is larger than the sample size, the sample statistic is still an estimate of the population parameter, but it may have a larger margin of error due to reduced representativeness. As the sample size increases relative to the population, the sample statistic generally becomes a more accurate reflection of the true population parameter. However, if the sample is randomly selected, the size difference alone does not inherently distort the sample statistic's validity; it's the sampling method that plays a crucial role in accuracy.


How does sample size effect the test statistic?

The larger the sample size, the more accurate the test results.


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.


What is the meaning of Sampling distribution of the test statistic?

Given any sample size there are many samples of that size that can be drawn from the population. In the population is N and the sample size in n, then there are NCn, but remember that the population can be infinite. A test statistic is a value that is calculated from only the observations in a sample (no unknown parameters are estimated). The value of the test statistic will change from sample to sample. The sampling distribution of a test statistic is the probability distribution function for all the values that the test statistic can take across all possible samples.


Explain how to standardize a value in statistics?

The term effect size can refer to the value of a statistic calculated from a sample of data.


How do you find the sample size when given the standard deviation and the mean with a sample value?

You cannot from the information provided.


A Numerical Measure from a Sample Such as a Sample Mean Is Known?

sample statistic


Is a sample a number describing some characteristic of a statistic?

No. A statistic is a number describing a characteristic of a sample.


What is absolute sample size?

It is the number of elements in the sample. By contrast, the relative sample size is the absolute sample size divided by the population size.


How does the sample size affect an experiment?

Sample size greatly reduces any error to randomness in a given sample. Each experiment requires a proper size of a sample. The better it is fitted to the experiment, the better is the result. For example, if you are trying to find out the study habits of students at your school of 1000 kids, a sample size of 50 would be sufficient. However, if you are trying to find out the study habits of students across the US, a sample size of at least several hundred-thousand would be required, preferably several million.


What does n on the t mean?

In the context of statistics, "n" typically represents the sample size, or the number of observations or data points in a study. The "t" often refers to a t-statistic, which is used in t-tests to determine if there are significant differences between groups. Therefore, "n on the t" might imply the sample size used in calculating the t-statistic for hypothesis testing. In summary, it highlights the relationship between sample size and statistical analysis.


What is the description of sample?

Statistic