The 95 % Confidence Interval for the weights (in pounds) of a special type of rock has found to...

Question:

The {eq}95 \ \% {/eq} Confidence Interval for the weights (in pounds) of a special type of rock has found to be {eq}2.48, \ 9.35 {/eq}. What will be the margin of error?

Confidence Interval for a Mean:

The confidence interval is a type of interval estimation that gives upper and lower bounds true population parameter is likely to be contained. The width of the confidence interval is determined by the sample size, sampling variability and level of confidence.

Answer and Explanation:

Margin of error is the percentage points true population parameter is most likely to be contained below or above the best point estimate. Margin of error can be calculated by subtracting point estimate from the upper bound or subtracting lower bound from the point estimate:

{eq}\displaystyle \text{point estimate}=\frac{9.35+2.48}{2}=5.915\\\therefore \text{Margin of error}=9.35-5.915=3.435 {/eq}


Learn more about this topic:

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Finding Confidence Intervals with the Normal Distribution

from Statistics 101: Principles of Statistics

Chapter 9 / Lesson 3
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