Question

Margin of Error Estimating Population Mean Practice
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You want to estimate the mean exam score for students at a university. The confidence level that you use in your calculation is 90%, the standard deviation is 5, and the sample size of the population of students is 500. What is the margin of error? Round your answer to the nearest hundredth.(1 point)
The margin of error is
.

Answer 1

Use MOE = z*(σ/√n). For 90% z* ≈ 1.645, so MOE = 1.645*(5/√500) = 1.645*(5/22.3607) ≈ 0.37.

The margin of error is 0.37.