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 …

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asked Mar 16, 2017 6.3k views

2 Answers

TyMayn · Answer 1 · 2017-03-21T00:44:42+0000

Answer:

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

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