Question

Express the confidence interval 0.866 ± 0.037 in open interval form (i.e., (0.155,0.855)).​

Answer 1

Answer: (0.829, 0.903)

Explanation:

We know that
`a\pm b=(a-b,\ a+b)` (1)

The given confidence interval : 0.866 ± 0.037

To express the given confidence interval in open interval form , we split the given expression as :

`0.866 \pm 0.037 \\\\=(0.866-0.037,\ 0.866+0.037)\ \ \text{[By using (1)]}\\\\=(0.829,\ 0.903)`

Therefore, the confidence interval in open interval form would be (0.829, 0.903) .