Express the confidence interval 0.866 ± 0.037 in open interval form (i.e., (0.155,0.855)).
1 answer:
Answer: (0.829, 0.903)
Step-by-step explanation:
We know that
(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)](https://tex.z-dn.net/?f=0.866%20%5Cpm%200.037%20%5C%5C%5C%5C%3D%280.866-0.037%2C%5C%200.866%2B0.037%29%5C%20%5C%20%5Ctext%7B%5BBy%20using%20%281%29%5D%7D%5C%5C%5C%5C%3D%280.829%2C%5C%200.903%29)
Therefore, the confidence interval in open interval form would be (0.829, 0.903) .
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