Final answer:
The statement suggesting that an undistributed sample covers only some of the class it denotes is false.
Step-by-step explanation:
Answering the student's question, the statement to be undistributed, a sample covers only some of the class it denotes, is false.
In sampling, the goal is to select a sample that is representative of the entire population from which it is drawn. A sample should aim to cover all segments or classes in a population to avoid bias, although practically it is a subset of the population. The statement might be referring to a sample being unrepresentative, not undistributed.
For example, if we take the student population in a college as our population, a sample that includes students from all disciplines and year groups would be a representative sample. The ability to generalize findings from the sample to the population is compromised if the sample does not represent the full diversity of the population.
In terms of sampling and statistics, the mean of a sampling distribution is approximately the mean of the data distribution. When repeated samples are taken, approximately 90 percent of the confidence intervals will contain the true population mean. Additionally, the central limit theorem indicates that as the sample size increases, the sampling distribution of the means becomes more normal.