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Statistic and a sample is the same relationship between what?
A statistic and a sample have a relationship similar to that between a population and a parameter. A sample is a subset of a population, while a statistic is a numerical value calculated from that sample, used to estimate the corresponding population parameter. Essentially, a statistic provides insight into the characteristics of a larger group based on the analysis of a smaller, representative portion.
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.
Can a sample statistic ever be larger than the population parameter?
Yes.
This is the greatest possible error when estimating the value of a population parameter with a sample statistic or confidence interval?
The greatest possible error when estimating a population parameter using a sample statistic or confidence interval is known as the margin of error. It reflects the maximum expected difference between the true population parameter and the sample estimate, typically expressed as a percentage. This error accounts for sampling variability and is influenced by the sample size and the confidence level chosen. A larger sample size generally reduces the margin of error, leading to more precise estimates.
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 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.
Does a parameter describe a population or a sample?
A parameter describes a population. A statistic describes a sample.
Statistic and a sample is the same relationship between what?
A statistic and a sample have a relationship similar to that between a population and a parameter. A sample is a subset of a population, while a statistic is a numerical value calculated from that sample, used to estimate the corresponding population parameter. Essentially, a statistic provides insight into the characteristics of a larger group based on the analysis of a smaller, representative portion.
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.
Is the sample mean a point estimate of the population mean?
A point estimate of a population parameter is a single value of a statistic. For example, the sample mean x is a point estimate of the population mean μ. Similarly, the sample proportion p is a point estimate of the population proportion P.
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.
What is the difference a parameter and a statistic?
A parameter is a number describing something about a whole population. eg population mean or mode. A statistic is something that describes a sample (eg sample mean)and is used as an estimator for a population parameter. (because samples should represent populations!)
Can a sample statistic ever be larger than the population parameter?
Yes.
What is the difference between a parameter and a statistic?
A parameter is a number describing something about a whole population. eg population mean or mode. A statistic is something that describes a sample (eg sample mean)and is used as an estimator for a population parameter. (because samples should represent populations!)
What is usually not possible to compute one relies on a sample statistic?
Population Parameter
Number used to estimate a population parameter?
A point estimate is a single value used to estimate a population parameter, such as the sample mean used to estimate the population mean. Confidence intervals can also be used to provide a range within which the population parameter is likely to lie.
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
