Which one of the following is incorrect?*Standard deviation of a sample is a statistic.Variance of population is a parameter.Mean of a sample is a parameter.Standard deviation of a population is a parameter.
Question
Which one of the following is incorrect?*Standard deviation of a sample is a statistic.Variance of population is a parameter.Mean of a sample is a parameter.Standard deviation of a population 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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"Variance of population is a parameter." - This is correct. The variance of a population is a parameter because it is a characteristic of the 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, not the entire population.
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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 characteristic of the population.
Similar Questions
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.
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 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.
29.The standard deviation of the sample means is equal to which of the following? A. population standard deviation divided by the square root of n (sample size) B. sample standard deviation divided by n (sample size) C. sample standard deviation divided by the square root of n (sample size) D. population standard deviation divided by n (sample size)
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