You are provided with a 95% confidence interval for a population mean. What does the confidence level indicate?

Question

Options

• AThe probability that the sample mean is equal to the population mean
• BThe probability that the population mean lies within the interval
• CThe percentage of the sample that lies within the interval
• DThe range of values within which the population mean is expected to lie

• A
  3% (1)
• B
  90% (35)
• C
  3% (1)
• D
  5% (2)

Explanation

A 95% confidence level indicates that if the same population is sampled many times and confidence intervals are constructed from those samples, approximately 95% of those intervals will contain the true population mean. It is about the long-run frequency or reliability of the interval estimation process, not the probability that the population mean is within any single calculated interval. The interval itself is the range of values within which the population mean is expected to lie, but the confidence level quantifies how confident we are in that estimation method across repeated

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