Suppose μ = 50 and σ = 10 for a population. In a sample where n = 100 is randomly taken, 95% of all possible sample means will fall between 48.04 and 51.96.

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Quizplus · Accepted Answer

This statement is true because the interval (48.04, 51.96) falls within the range of ±1.96 standard errors from the population mean (μ), which is the definition of a 95% confidence interval. Therefore, we can be 95% confident that the true population mean lies within this interval.

Suppose μ = 50 and σ = 10 for a Population