Question

The mean for a set of measurements is 4.17 and the standard deviation is 0.14. To show 95% confidence limits, we can write the result of the measurements as 4.17+ -

Answer 1

The 95% confidence level is

`4.17 \pm 0.2744`

Step-by-step explanation:

If we can apply the central limit theorem, we can approximate this distribution to a normal distribution.

The confidence level (for n=1) is defined as

`X\pm (z*\sigma)/(√(n))=X\pm z*\sigma`

For a 95% confidence interval, according to the normal distribution, z=1.96.

Then we have:

`X\pm z*\sigma=4.17 \pm 1.96*0.14=4.17 \pm 0.2744`