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Determine the area under the standard normal curve that lies to the left of ​(a) Z=0.83, ​(b) Z=0.06​, ​(c) Z=−0.57​, and ​(d) Z=−1.33.

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Answer: The value for Z are as follows:

Step-by-step explanation:

The area under the standard normal curve that lies to the left are as follows:

(a) Z=0.83 = 0.7967

(b) Z=0.06​ = 0.5239

(c) Z=−0.57 = 0.2843

(d) Z=−1.33 = 0.0918

All the Z-critical values represents the area towards the left. A critical value also shows the rejection region for the hypothesis testing.

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