Which one of the following is incorrect?*Standard deviation of a sample is a statistic.Standard deviation of a population is a parameter.Variance of population is a parameter.Mean of a sample is a parameter.
Question
Which one of the following is incorrect?*Standard deviation of a sample is a statistic.Standard deviation of a population is a parameter.Variance of population is a parameter.Mean of a sample is a parameter.
Solution
The incorrect statement is: "Mean of a sample is a parameter."
Here's why:
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"Standard deviation of a sample is a statistic." - This is correct. The standard deviation of a sample is a statistic because it is calculated from a sample of data.
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"Standard deviation of a population is a parameter." - This is correct. The standard deviation of a population is a parameter because it is a fixed value that describes the entire population.
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"Variance of population is a parameter." - This is correct. The variance of a population is a parameter because it is a fixed value that describes the entire population.
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"Mean of a sample is a parameter." - This is incorrect. The mean of a sample is a statistic, not a parameter. It is calculated from a sample of data and can vary depending on the sample chosen. A parameter is a fixed value that describes the entire population.
Similar Questions
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.
Is this statement true or false?"Parameters" relate to populations, while "statistics" relate to samples.
What symbol is used for the standard deviation when it is a sample statistic? What symbol is used for the standard deviation when it is a population parameter?Sample statistic: 𝜎. Population parameter: s.For both, s is used. For both, 𝜎 is used.Sample statistic: s. Population parameter: 𝜎.
Which of the following statements about populations and samples is FALSE?The spread in data set A is greater than that in data set B. Data set A likely has a higher variance than that of data set B.Sample standard deviation is the square root of sample variance.Population variance and mean are estimators for the sample variance and mean.Sample variance and mean are estimators for the population mean and variance.
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.
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