Questions: Which of the following is NOT a requirement for constructing a confidence interval for estimating a population mean with σ known? Choose the correct answer below. A. Either the population is normally distributed or n>30, or both. B. The confidence level is 95%. C. The sample measures a quantitative value. D. The sample is a simple random sample.

Solution Steps

To construct a confidence interval for estimating a population mean with known population standard deviation (\(\sigma\)), the following requirements must be met:

1. Either the population is normally distributed or \(n > 30\), or both.
2. The sample measures a quantitative value.
3. The sample is a simple random sample.

Given the options:

• A. Either the population is normally distributed or \(n > 30\), or both.
• B. The confidence level is \(95\%\).
• C. The sample measures a quantitative value.
• D. The sample is a simple random sample.

We analyze each option:

• Option A is a requirement for constructing the confidence interval.
• Option C is also a requirement since the sample must measure a quantitative value.
• Option D is a requirement as the sample should be a simple random sample.
• Option B, stating that the confidence level must be \(95\%\), is not a requirement since confidence intervals can be constructed at various confidence levels.

Based on the analysis, the option that is NOT a requirement for constructing a confidence interval for estimating a population mean with \(\sigma\) known is option B.

Final Answer