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.

Answer: The value for Z are as follows:

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.