A 100(1-α)% confidence interval for the population mean μ based on a sample of size n with a sample mean $\bar{X}$ and a known population standard deviation σ is given by ________.
A) $\bar{x} \pm z_{a} / 2(n-1)(\sqrt{n})$

B)$\bar{x} \frac{(\sigma / \sqrt{n})}{Z_{a / 2}}$

C)$x 1-\bar{x} /(\sigma / \sqrt{n})$

D)$\bar{x} \pm z_{a / 2}(\sigma / \sqrt{n})$

Question

A 100(1-α)% confidence interval for the population mean μ based on a sample of size n with a sample mean $\bar{X}$ and a known population standard deviation σ is given by ________.
A) $\bar{x} \pm z_{a} / 2(n-1)(\sqrt{n})$

B)$\bar{x} \frac{(\sigma / \sqrt{n})}{Z_{a / 2}}$

C)$x 1-\bar{x} /(\sigma / \sqrt{n})$

D)$\bar{x} \pm z_{a / 2}(\sigma / \sqrt{n})$

Quizplus · Accepted Answer

The formula for a 100(1-α)% confidence interval for the population mean μ based on a sample of size n with a sample mean $\bar{X}$ and a known population standard deviation σ is $\bar{x} \pm z_{a / 2}(\sigma / \sqrt{n})$. This formula is equivalent to choice D. Choices A, B, and C are not correct formulas for this calculation.

A 100(1-α)% Confidence Interval for the Population Mean μ Based Xˉ\bar{X}Xˉ

A 100(1-α)% Confidence Interval for the Population Mean μ Based $\bar{X}$