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What happens to the sample statistic if the population size is larger than the sample size?
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Can a sample statistic ever be larger than the population parameter?
Yes.
Why does normal distribution occur when samples get larger?
That only happens when you sample a population that is normally distributed. In that case, the question and its answer are quite circular.
Example of the difference between a parameter and a statistic?
perameter is a measure of population or universe, statistic is a measure of a sample data drawn from population
What sample statistic is used to estimate a population parameter?
A point estimate is a single value (statistic) used to estimate a population value (parameter)true apex
What is the difference between parameter and sample?
A parameter is an attribute that refers to the entire population. (For example, the mean price of all motor vehicles in a city). A sample is collected from this population of all motor vehicles in that city to compute a statistic (here, the statistic is the average price of the vehicles in the sample) which is representative of the true price.
What is the the relationship between population and sample parameter and statistic?
The relations depend on what measures. The sample mean is an unbiased estimate for the population mean, with maximum likelihood. The sample maximum is a lower bound for the population maximum.
Can a sample statistic ever be larger than the population parameter?
Yes.
Does a parameter describe a population or a sample?
A parameter describes a population. A statistic describes a sample.
What is the advantage of inferential statistic?
Inferential statistics is concerned with making predictions or inferences about a population from observations and analyses of a sample. That is, we can take the results of an analysis using a sample and can generalize it to the larger population that the sample represents. In order to do this, however, it is imperative that the sample is representative of the group to which it is being generalized.
When we know the population mean but not the population standard deviation which statistic do we use to compare a sample to the population?
The sample standard error.
What is a subset from a larger population?
in statistics a sample is a subset of population..
When using the distribution of sample mean to estimate the population mean what is the benefit of using larger sample sizes?
The variance decreases with a larger sample so that the sample mean is likely to be closer to the population mean.
Why does normal distribution occur when samples get larger?
That only happens when you sample a population that is normally distributed. In that case, the question and its answer are quite circular.
How does sample size effect the test statistic?
The larger the sample size, the more accurate the test results.
What is the purpose of a sampling distribution?
A statistic based on a sample is an estimate of some population characteristic. However, samples will differ and so the statistic - which is based on the sample - will take different values. The sampling distribution gives an indication of ho accurate the sample statistic is to its population counterpart.
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.
How does a parameter and a statistic differ?
A parameter is a numerical measurement of a population; a statistic is a numerical measurement of a sample.
