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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.

Question

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.

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Solution

The false statement is: "Population variance and mean are estimators for the sample variance and mean."

This is incorrect because it's actually the other way around. Sample variance and mean are used as estimators for the population variance and mean, not vice versa. This is because a sample is a subset of the population, and we often use sample statistics to estimate population parameters when it's not feasible to collect data from the entire population.

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