Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Textbook Question
Chapter 6.2, Problem 70E
The total area under the following standard normal curve is divided into eight regions.
a. Determine the area of each region.
b. Complete the following table.
| Region | Area | Percentage of total area |
| −∞ to −3 | 0.0013 | 0.13 |
| −3 to −2 | ||
| −2 to −1 | ||
| −1 to 0 | ||
| 0 to 1 | 0.3413 | 34.13 |
| 1 to 2 | ||
| 2 to 3 | ||
| 3 to ∞ | ||
| 1.0000 | 100.00 |
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1. Find the area under the standard normal curve, to the left of z = -0.35. Draw a
picture of the standard normal curve, and shade and label all
z-values.
2. Find the z-value corresponding to the shaded area under the standard normal
distribution.
2 =
Area = 0.68
The following numbers are the number found at the left side and upper part of the table.
Identify the number that lies on the intersection between the given set of numbers. Use
the Table of the Area Under Normal Curve indicated at the last page of this module
1. -1.6 and 0.09 = ________
2. 1.0 and 0.07 = _________
3. 1.1 and 0.06 = _________
4. 0.5 and 0.08 = _________
5. 1.0 and 0.00 = _________
A. Directions: Find the area under the
normal curve of the following z values,
then sketch the curve. Write your answer
inside the box.
B. Directions: Find the value of z of the
following, and then sketch the curve. Write
your answer inside the box.
1. From the mean to z = 1.15.
1. Area to the left of the mean is 0.4750.
2. Between z, = -2.03 and z2 = 0.85.
2. Area to the left of z = 1.47 is 0.6841.
3. Area to the left of z = 2.05 is 0.0818.
3. Between z1 = 1.89 and z2 = 0.52.
4. Area to the right of z is 0.7673.
4. To the right of z = -0.63
5. Area to the left of z is 0.1685.
5. To the left of z = -1.46
Chapter 6 Solutions
Introductory Statistics (10th Edition)
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