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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

Verified Answer :

InesWalston

Answer:

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

Step-by-step explanation:

We know that,

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

Putting the values,

z = 2.14; s = 4; n = 9

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

z = 2.14; s = 4; n = 81

\(\text{Margin of error}=2.14\cdot \dfrac{4}{\sqrt{81}}=0.95\)

z = 2.14; s = 16; n = 9

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

z = 2.14; s = 16; n = 81

\(\text{Margin of error}=2.14\cdot \dfrac{16}{\sqrt{81}}=3.80\)


miamorelock96

Answer:

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

Step-by-step explanation:

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