Question: What "confidence" would be associated with each of the following intervals? Assume that the random variable Y is normally distributed and that a is known.

1. \(\left(\bar{y}-1.64 \cdot \frac{\sigma}{\sqrt{n}}, \bar{y}+2.33 \cdot \frac{\sigma}{\sqrt{n}}\right)\)
2. \(\left(-\infty, \bar{y}+2.58 \cdot \frac{\sigma}{\sqrt{n}}\right)\)
3. \(\left(\bar{y}-1.64 \cdot \frac{\sigma}{\sqrt{n}}, \bar{y}\right)\)

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