If the confidence interval for most laboratories is 95.5%, what is the acceptable range for hemoglobin if a hemoglobin control was run with a mean of 12.5 and a standard deviation of 1.0?

Question

Quizplus · Accepted Answer

The acceptable range for hemoglobin with 95.5% confidence interval can be calculated as:
Mean ± (1.96 x Standard Error)
where Standard Error (SE) = Standard Deviation / √Sample Size
For the given hemoglobin control, the sample size is not provided, but assuming it to be a large enough sample (n=30 or more), we can use the formula.
SE = 1.0 / √n
SE = 1.0 / √30 ≈ 0.182
Substituting in the formula:
12.5 ± (1.96 x 0.182)
12.5 ± 0.357 ≈ 10.5 to 14.5
Thus, the acceptable range for hemoglobin is from 10.5 to 14.5 g/dL with 95.5% confidence interval. The best choice is B.

If the Confidence Interval for Most Laboratories Is 95