Random Samples of Size 17 Are Taken from a Population

question 76

Multiple Choice

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. Which of the following best describes the form of the sampling distribution of the sample mean for this situation?

• A)approximately normal because the sample size is small relative to the population size
• B)approximately normal because of the central limit theorem
• C)exactly normal
• D)None of these alternatives is correct.

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Definitions:

Poor Language Development

Suboptimal progress in acquiring the skills necessary for understanding and producing language, typically observed in children.

Cognitive Development

The construction of thought processes, including remembering, problem-solving, and decision-making, from childhood through adulthood.

Infant Mortality

The rate at which infants die before their first birthday, often measured per 1,000 live births, indicating the health and well-being of infants in a population.