One-Sided One-Mean z-Intervals. Presuming that the assumptions for a one-mean z-interval are satisfied, we have the following formulas for $(1 - α)$ -level confidence bounds for a population mean $\mu$ :
- Lower confidence bound: $\tilde{x} - z_{σ} \cdot σ / \sqrt{n}$
- Upper confidence bound: $\bar{x} + z_{α} \cdot σ / \sqrt{n}$
Interpret the preceding formulas for lower and upper confidence bounds in words.

Question

One-Sided One-Mean z-Intervals. Presuming that the assumptions for a one-mean z-interval are satisfied, we have the following formulas for $(1 - α)$ -level confidence bounds for a population mean $\mu$ :
- Lower confidence bound: $\tilde{x} - z_{σ} \cdot σ / \sqrt{n}$
- Upper confidence bound: $\bar{x} + z_{α} \cdot σ / \sqrt{n}$
Interpret the preceding formulas for lower and upper confidence bounds in words.

Accepted Answer

We are $100 (1 - α) %$ certain that the population mean is less than or equal to $\bar{x} + z_{α} \times \frac{σ}{\sqrt{n}}$ . i.e. $μ \geq \bar{x} + z_{α} \times \frac{σ}{\sqrt{n}}$

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