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Multiple Choice
Which of the following best describes the difference between a and a in statistics?
A
A includes all possible outcomes, while a only includes observed outcomes.
B
A is always smaller than a .
C
A includes all members of a defined group, while a is a subset of that group selected for analysis.
D
A and a are always the same in statistics.
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Verified step by step guidance
1
Step 1: Understand the definition of a population in statistics. A population refers to the entire set of individuals, items, or data points that share a common characteristic and are the focus of a statistical study.
Step 2: Understand the definition of a sample. A sample is a subset of the population, selected to represent the population in a study, often because it is impractical or impossible to study the entire population.
Step 3: Compare the two concepts. The population includes all members of the defined group, while the sample includes only some members chosen from that group.
Step 4: Evaluate the given options based on these definitions. Identify which option correctly states that a population is the whole group and a sample is a part of that group.
Step 5: Conclude that the correct description is: 'A population includes all members of a defined group, while a sample is a subset of that group selected for analysis.'