This graph provides the lower tail probabilities for the standard normal distribution. Change the value of z or p in the boxes below to update the graph. When you change one value the other value will update automatically. Observe how the shaded area in the lower tail changes with different values of z or p. 2: -1.645 p: 0.05 p=0.05 2 .586 .893 -1.645 What is the z-score for an upper-tail probability of .10? -1.645 -1.96 1.282 -2.33 What is the probability for the region -1.75 sz s 1.5? .973 .613 0 Created by Gary H. McClelland, Professor Emeritus | University of Colorado Boulder ⒸCengage Learning. All Rights Reserved.

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Conceptual Overview: Compute and visualize probabilities for the standard normal distribution using numerical inputs for z and p.
This graph provides the lower tail probabilities for the standard normal distribution.
Change the value of z or p in the boxes below to update the graph. When you change one value the other value will update automatically. Observe how the shaded area in the lower tail changes with different values of z or p.
a
Z: -1.645
p: 0.05
p = 0.05
1. What is the z-score for an upper-tail probability of .10?
a. 1.645
b. -1.96
c. 1.282
d. -2.33
✓X
-2
-1.645
2. What is the probability for the region -1.75 ≤ z ≤ 1.5?
a. .973
b. .613
c. .586
d. .893
6
Created by Gary H. McClelland, Professor Emeritus | University of Colorado Boulder
ⒸCengage Learning. All Rights Reserved.
Transcribed Image Text:d Conceptual Overview: Compute and visualize probabilities for the standard normal distribution using numerical inputs for z and p. This graph provides the lower tail probabilities for the standard normal distribution. Change the value of z or p in the boxes below to update the graph. When you change one value the other value will update automatically. Observe how the shaded area in the lower tail changes with different values of z or p. a Z: -1.645 p: 0.05 p = 0.05 1. What is the z-score for an upper-tail probability of .10? a. 1.645 b. -1.96 c. 1.282 d. -2.33 ✓X -2 -1.645 2. What is the probability for the region -1.75 ≤ z ≤ 1.5? a. .973 b. .613 c. .586 d. .893 6 Created by Gary H. McClelland, Professor Emeritus | University of Colorado Boulder ⒸCengage Learning. All Rights Reserved.
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