Question

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

Answer 1

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

Explanation:

Answer 2

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

Explanation:

We know that,

`\text{Margin of error}=z\cdot (\sigma)/(\sqrt n)`

Putting the values,

z = 2.14; s = 4; n = 9

`\text{Margin of error}=2.14\cdot (4)/(\sqrt 9)=2.85`

z = 2.14; s = 4; n = 81

`\text{Margin of error}=2.14\cdot (4)/(√(81))=0.95`

z = 2.14; s = 16; n = 9

`\text{Margin of error}=2.14\cdot (16)/(\sqrt 9)=11.41`

z = 2.14; s = 16; n = 81

`\text{Margin of error}=2.14\cdot (16)/(√(81))=3.80`