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:
[tex]a\pm b=(a-b,\ a+b)[/tex] (*)
Now, the given confidence interval can be written as :
[tex]0.866 \pm 0.037 \\\\=(0.866-0.037,\ 0.866+0.037)\ \ \text{[By using (*)]}\\\\=(0.829,\ 0.903)[/tex]
Hence, the required confidence interval in open interval form would be (0.829, 0.903) .
