Determine the area under the standard normal curve that lies to the right of (a) Z=1.09, (b) Z=-1.29, (c) Z=-0.11, and (d) Z= -0.01. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) The area to the right of Z=1.09 is (Round to four decimal places as needed.) (b) The area to the right of Z=-1.29 is (Round to four decimal places as needed.) (c) The area to the right of Z= -0.11 is (Round to four decimal places as needed.) (d) The area to the right of Z= -0.01 is (Round to four decimal places as needed.)
Determine the area under the standard normal curve that lies to the right of (a) Z=1.09, (b) Z=-1.29, (c) Z=-0.11, and (d) Z= -0.01. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) The area to the right of Z=1.09 is (Round to four decimal places as needed.) (b) The area to the right of Z=-1.29 is (Round to four decimal places as needed.) (c) The area to the right of Z= -0.11 is (Round to four decimal places as needed.) (d) The area to the right of Z= -0.01 is (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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- [Click here to view the standard normal distribution table (page 2)](link)
### Tasks:
1. Determine the area to the right of Z = 1.09.
- Solution: The area to the right of Z = 1.09 is _______. (Round to four decimal places as needed.)
2. Determine the area to the right of Z = -1.29.
- Solution: The area to the right of Z = -1.29 is _______. (Round to four decimal places as needed.)
3. Determine the area to the right of Z = -0.11.
- Solution: The area to the right of Z = -0.11 is _______. (Round to four decimal places as needed.)
4. Determine the area to the right of Z = -0.01.
- Solution: The area to the right of Z = -0.01 is _______. (Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd86b4514-aa18-4e84-8d65-86fc6c642f07%2F6edbca87-49d1-4275-8321-725e1e96bbb6%2Fae8vk76_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Determining the Area under the Standard Normal Curve
To determine the area under the standard normal curve that lies to the right of specific Z-values, refer to the provided links and use the standard normal distribution tables.
#### Given Z-values:
- (a) Z = 1.09
- (b) Z = -1.29
- (c) Z = -0.11
- (d) Z = -0.01
### References for Standard Normal Distribution Tables:
- [Click here to view the standard normal distribution table (page 1)](link)
- [Click here to view the standard normal distribution table (page 2)](link)
### Tasks:
1. Determine the area to the right of Z = 1.09.
- Solution: The area to the right of Z = 1.09 is _______. (Round to four decimal places as needed.)
2. Determine the area to the right of Z = -1.29.
- Solution: The area to the right of Z = -1.29 is _______. (Round to four decimal places as needed.)
3. Determine the area to the right of Z = -0.11.
- Solution: The area to the right of Z = -0.11 is _______. (Round to four decimal places as needed.)
4. Determine the area to the right of Z = -0.01.
- Solution: The area to the right of Z = -0.01 is _______. (Round to four decimal places as needed.)
![### Standard Normal Distribution Table
Below you will find Standard Normal Distribution (SND) tables. The SND table provides critical values for the standard normal distribution. This table is essential in statistics for determining the probability that a statistic is observed below, above, or between certain values.
#### Standard Normal Distribution Table (page 1)
This table lists Z-scores ranging from -3.4 to 3.4 in the left-most column along with detailed values across each row corresponding to decimal increments in the top-most row. For example, a Z-score of 0.00 corresponds to a cumulative probability of 0.5000.
![Standard Normal Distribution Table Page 1]
#### Standard Normal Distribution Table (page 2)
The second page continues the table, providing Z-scores and their corresponding probabilities. Z-scores in this table also range from -3.4 to 3.4 in the left-most column, with similar detailed cumulative probability values across each row corresponding to decimal increments in the top-most row.
![Standard Normal Distribution Table Page 2]
### How to Use the Table:
1. **Identify the Z-Score:** Locate the row corresponding to the Z-score's first two digits.
2. **Locate Decimal Place:** Identify the column for the second decimal place of the Z-score.
3. **Find the Probability:** The intersecting cell shows the cumulative probability associated with that Z-score.
For example, to find the cumulative probability of a Z-score of 1.23:
- Look at the row for Z = 1.2.
- Move across to the column under 0.03.
- Intersection value is approximately 0.8907, meaning a Z-score of 1.23 has a cumulative probability of 0.8907.
These tables are valuable for various statistical analyses, including hypothesis testing, confidence interval estimation, and other areas where the normal distribution is applicable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd86b4514-aa18-4e84-8d65-86fc6c642f07%2F6edbca87-49d1-4275-8321-725e1e96bbb6%2F5sdkbd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Standard Normal Distribution Table
Below you will find Standard Normal Distribution (SND) tables. The SND table provides critical values for the standard normal distribution. This table is essential in statistics for determining the probability that a statistic is observed below, above, or between certain values.
#### Standard Normal Distribution Table (page 1)
This table lists Z-scores ranging from -3.4 to 3.4 in the left-most column along with detailed values across each row corresponding to decimal increments in the top-most row. For example, a Z-score of 0.00 corresponds to a cumulative probability of 0.5000.
![Standard Normal Distribution Table Page 1]
#### Standard Normal Distribution Table (page 2)
The second page continues the table, providing Z-scores and their corresponding probabilities. Z-scores in this table also range from -3.4 to 3.4 in the left-most column, with similar detailed cumulative probability values across each row corresponding to decimal increments in the top-most row.
![Standard Normal Distribution Table Page 2]
### How to Use the Table:
1. **Identify the Z-Score:** Locate the row corresponding to the Z-score's first two digits.
2. **Locate Decimal Place:** Identify the column for the second decimal place of the Z-score.
3. **Find the Probability:** The intersecting cell shows the cumulative probability associated with that Z-score.
For example, to find the cumulative probability of a Z-score of 1.23:
- Look at the row for Z = 1.2.
- Move across to the column under 0.03.
- Intersection value is approximately 0.8907, meaning a Z-score of 1.23 has a cumulative probability of 0.8907.
These tables are valuable for various statistical analyses, including hypothesis testing, confidence interval estimation, and other areas where the normal distribution is applicable.
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