Question

determine whether the following statement is true or false. if it is false, rewrite it as a true statement. a sample statistic will not change from sample to sample. choose the correct answer below. a. the statement is false. a sample parameter will not change from sample to sample. b. the statement is false. a population statistic will not change from population to population. c. the statement is true. d. the statement is false. a sample statistic can change from sample to sample.

Explanation:

A sample statistic is a measure calculated from a sample (a subset of a population). Different samples from the same population can have different values for the statistic (e.g., sample mean, sample proportion). So the original statement "A sample statistic will not change from sample to sample" is false. Option D correctly states that a sample statistic can change from sample to sample. Option A is incorrect because "sample parameter" is a misnomer (parameters are for populations, statistics for samples), and the statement about it not changing is also wrong. Option B is incorrect as "population statistic" is incorrect terminology (statistics are for samples, parameters for populations) and the statement is wrong. Option C is incorrect as the original statement is false.

Answer:

D. The statement is false. A sample statistic can change from sample to sample.