Answer:
Area = 4.89%
Step-by-step explanation:
Please see attached image for my illustration of the graph (normal curve), the Z-table values. Click to enlarge the image.
Since P(1.63 < z < 2.79), the area is between two z-scores on one side of the mean, here, on right side of the mean, or right-tailed.
Check the values on Z-table following these steps:
a) Split the scores:
- 1.63 = 1.6 + .03
- 2.79 = 2.7 + .09
b) Locate 1.6 on leftmost column, and .06 on topmost row of the Z-table.
c) Locate the intersection of 1.6 and .03 (column and row). The intersection is .94845
d) Locate 2.7 on leftmost colums, and .09 on topmost row of the Z table.
e) Locate the intersection of 2.7 and .09 (column and row). The intersection is .99736.
For one side of mean, subtract the smaller value of z-score from the bigger value.
Approximate Area % = (0.99736 - 0.94845) × 100
Approximate Area ≈ (0.04891) × 100
Approximate Area ≈ 4.89%
