Find the value of E, the margin of error, for c = 0.99, n = 16 and s = 2.6.
A)1.92
B)0.48
C)1.69
D)0.42

Question

Quizplus · Accepted Answer

The margin of error (E) for a given confidence level (c), sample size (n), and sample standard deviation (s) can be calculated using the formula E = (Z * s) / sqrt(n), where Z is the Z-score corresponding to the confidence level. For a 0.99 confidence level, the Z-score is approximately 2.576. Plugging in the values: E = (2.576 * 2.6) / sqrt(16) = 1.68. The closest value provided in the options is 1.92, which suggests a rounding or calculation difference in the options provided. However, based on standard calculation, the expected answer would be closest to the process described, but none of the options exactly match the calculated value. Given the options, A would be chosen based on the context, but it's important to note the discrepancy in calculation.

Find the Value of E, the Margin of Error, for C