Which of the following statements is false a the standard er

Which of the following statements is false?

a. the standard error measures the variability of a population parameter

b. the standard error of a sample statistc measures rought the average distance between the vaules of a statistic and the population parameter.

c. assuming a fixed value of s = sample standard deviation the standard error of the mean decreases as the sample size increases.

d.the standard error of a sample proportion decreases as the sample size increases.

Solution

OPTION A: The standard error measures the variability of a population parameter.

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It is false because what it measures is the variability of the SAMPLE STATISTIC, not the population parameter.