Which of the following statements best describes the relationship between a parameter and a statistic?Question 17Select one:a.A parameter has a sampling distribution with the statistic as its mean.b.A parameter has a sampling distribution used to determine values a statistic may have in repeated samples.c.A statistic is used to estimate a parameter.d.A parameter is used to estimate a statistic.
Question
Which of the following statements best describes the relationship between a parameter and a statistic?Question 17Select one:a.A parameter has a sampling distribution with the statistic as its mean.b.A parameter has a sampling distribution used to determine values a statistic may have in repeated samples.c.A statistic is used to estimate a parameter.d.A parameter is used to estimate a statistic.
Solution
The best description for the relationship between a parameter and a statistic is: "A statistic is used to estimate a parameter."
Here's why:
A parameter is a value that describes a characteristic of a population, such as the population mean or the population standard deviation. Because we often cannot measure the entire population, we use sample data to estimate these parameters.
A statistic, on the other hand, is a value that describes a characteristic of a sample. Examples of statistics include the sample mean or the sample standard deviation.
So, we use the statistic (a value we can calculate from our sample data) to estimate the parameter (the value we're really interested in knowing about the population).
Similar Questions
Which of the following statements is correct about a parameter and a statistic associated with repeated random samples of the same size from the same population?Review LaterValues of a parameter will vary from sample to sample but values of a statistic will notValues of both a parameter and a statistic may vary from sample to sampleValues of a parameter will vary according to the sampling distribution for that parameter.Values of a statistic will vary according to the sampling distribution for that statistic.
A parameter is a characteristic, like mean or median, that describes the population, while a statistic is a characteristic that describes a sample.
What is the difference between a parameter and a statistic?A parameter is a numerical measurement describing data from a population. A statistic is a numerical measurement describing data from a sample.A parameter is a numerical measurement describing data from a population. A statistic is an aspect of an individual subject or object being measured. A parameter is a numerical measurement describing data from a sample. A statistic is a numerical measurement describing data from a population.A parameter is an aspect of an individual subject or object being measured. A statistic is a numerical measurement describing data from a sample.A parameter is a numerical measurement describing data from a sample. A statistic is an aspect of an individual subject or object being measured.A parameter is an aspect of an individual subject or object being measured. A statistic is a numerical measurement describing data from a population.
What is the difference between a parameter and a statistic?A parameter is derived from a sample, while a statistic is derived from a population.A parameter is always an average, while a statistic can be any measure.A parameter is derived from a population, while a statistic is derived from a sample.There is no difference; both terms can be used interchangeably
Which one of the following is incorrect? 1.Variance of population is a parameter. 2.Standard deviation of a population is a parameter. 3.Mean of a sample is a parameter. 4.Standard deviation of a sample is a statistic.
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