Question

Express the confidence interval 0.866 (plusminus) 0.037 in open interval form (ie, (0.155,0.855)).​

Answer 1

Answer: (0.829, 0.903)

Step-by-step explanation:

The given confidence interval :  0.866 (plusminus) 0.037

i.e. 0.866 ± 0.037

Identity we use here:

$a\pm b=(a-b,\ a+b)$                                 (*)

Now, the given confidence interval can be written as :

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

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