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

Respuesta :

Answer:

B. z = 2.14; s = 4; n = 81

Step-by-step explanation:

We know that,

[tex]\text{Margin of error}=z\cdot \dfrac{\sigma}{\sqrt n}[/tex]

Putting the values,

z = 2.14; s = 4; n = 9

[tex]\text{Margin of error}=2.14\cdot \dfrac{4}{\sqrt 9}=2.85[/tex]

z = 2.14; s = 4; n = 81

[tex]\text{Margin of error}=2.14\cdot \dfrac{4}{\sqrt{81}}=0.95[/tex]

z = 2.14; s = 16; n = 9

[tex]\text{Margin of error}=2.14\cdot \dfrac{16}{\sqrt 9}=11.41[/tex]

z = 2.14; s = 16; n = 81

[tex]\text{Margin of error}=2.14\cdot \dfrac{16}{\sqrt{81}}=3.80[/tex]


Answer:

B. z = 2.14; s = 4; n = 81

Step-by-step explanation:

Q&A Education