Question

which of the following z-values, standard deviations, and sample sizes produce a margin of error of 0.95?

\me = \frac{z \cdot s}{\sqrt{n}}\\

\\(z = 2.14; s = 4; n = 9\\)
\\(z = 2.14; s = 4; n = 81\\)
\\(z = 2.14; s = 16; n = 9\\)
\\(z = 2.14; s = 16; n = 81\\)

Explanation:

State the given formula and target value

Using the Margin of Error Calculation knowledge point

$$
LATEXBLOCK0
$$

Test the first option

Using the Margin of Error Calculation knowledge point

$$
LATEXBLOCK1
$$

Test the second option

Using the Margin of Error Calculation knowledge point

$$
LATEXBLOCK2
$$

Test the third option

Using the Margin of Error Calculation knowledge point

$$
LATEXBLOCK3
$$

Test the fourth option

Using the Margin of Error Calculation knowledge point

$$
LATEXBLOCK4
$$

Answer:

• \(z = 2.14; s = 4; n = 9\)
• \(z = 2.14; s = 4; n = 81\) (Correct answer)
• \(z = 2.14; s = 16; n = 9\)
• \(z = 2.14; s = 16; n = 81\)