Which of the following z -values, standard deviations, and sample sizes produce a margin of error of 0 point 9 5 ? ME is equal to the fraction with numerator z times s and denominator square root of n
Answer
A
z is equal to 2 point 1 4 ; s is equal to 4 ; n is equal to 9
B
z is equal to 2 point 1 4 ; s is equal to 4 ; n is equal to 81
C
z is equal to 2 point 1 4 ; s is equal to 16 ; n is equal to 81
D
z is equal to 2 point 1 4 ; s is equal to 16 ; n is equal to 9
Explanation
Use ME = zs/√n. For choice B, √81 = 9, so ME = (2.14 × 4)/9 = 8.56/9 ≈ 0.951, which rounds to 0.95. The other choices do not produce a margin of error close to 0.95.
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