Use Table 4 as shown in img.jpg to find the following probabilities for a standard normal random variable Z. a. P(0≤Z≤1.2) b. P(-0.9≤Z≤0) c.P(0.3≤Z≤1.56)
Use Table 4 as shown in img.jpg to find the following probabilities for a standard normal random variable Z. a. P(0≤Z≤1.2) b. P(-0.9≤Z≤0) c.P(0.3≤Z≤1.56)
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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Use Table 4 as shown in img.jpg to find the following probabilities for a standard normal random variable Z.
a. P(0≤Z≤1.2)
b. P(-0.9≤Z≤0)
c.P(0.3≤Z≤1.56)
d. P(-0.2≤Z≤0.2)
e. P(-200≤Z≤-1.56)
![**Table 4: Critical Values of t**
This table provides the critical values of the t-distribution for various degrees of freedom (df) and significance levels (\(\alpha\)). These values are used in statistical hypothesis testing, particularly in t-tests.
**Diagram:**
Above the table is a normal distribution curve with a shaded tail representing the area \(\alpha\) (significance level). The critical value \( t_{\alpha} \) is marked on the horizontal axis, beyond which the area \(\alpha\) lies under the curve.
**Table Columns:**
- **Degrees of Freedom:** Ranges from 1 to 29.
- Critical values are provided for significance levels \(\alpha\) = 0.100, 0.050, 0.025, 0.010, and 0.005.
**Critical Values Chart:**
| Degrees of Freedom | \( t_{0.100} \) | \( t_{0.050} \) | \( t_{0.025} \) | \( t_{0.010} \) | \( t_{0.005} \) |
|--------------------|----------------|----------------|----------------|----------------|---------------|
| 1 | 3.078 | 6.314 | 12.706 | 31.821 | 63.657 |
| 2 | 1.886 | 2.920 | 4.303 | 6.965 | 9.925 |
| 3 | 1.638 | 2.353 | 3.182 | 4.541 | 5.841 |
| 4 | 1.533 | 2.132 | 2.776 | 3.747 | 4.604 |
| 5 | 1.476 | 2.015 | 2.571 | 3.365 | 4.032 |
| 6 | 1.440 | 1.943 | 2.447 | 3.143 | 3.707 |
| 7 | 1.415 | 1.895 | 2.365 | 2.998 | 3.499 |
| 8 | 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07ecadc9-0017-4589-b85c-6c95e82cc0ef%2Fd9d41480-545b-4418-95a5-473a69d1fc35%2Fxpm997n.jpeg&w=3840&q=75)
Transcribed Image Text:**Table 4: Critical Values of t**
This table provides the critical values of the t-distribution for various degrees of freedom (df) and significance levels (\(\alpha\)). These values are used in statistical hypothesis testing, particularly in t-tests.
**Diagram:**
Above the table is a normal distribution curve with a shaded tail representing the area \(\alpha\) (significance level). The critical value \( t_{\alpha} \) is marked on the horizontal axis, beyond which the area \(\alpha\) lies under the curve.
**Table Columns:**
- **Degrees of Freedom:** Ranges from 1 to 29.
- Critical values are provided for significance levels \(\alpha\) = 0.100, 0.050, 0.025, 0.010, and 0.005.
**Critical Values Chart:**
| Degrees of Freedom | \( t_{0.100} \) | \( t_{0.050} \) | \( t_{0.025} \) | \( t_{0.010} \) | \( t_{0.005} \) |
|--------------------|----------------|----------------|----------------|----------------|---------------|
| 1 | 3.078 | 6.314 | 12.706 | 31.821 | 63.657 |
| 2 | 1.886 | 2.920 | 4.303 | 6.965 | 9.925 |
| 3 | 1.638 | 2.353 | 3.182 | 4.541 | 5.841 |
| 4 | 1.533 | 2.132 | 2.776 | 3.747 | 4.604 |
| 5 | 1.476 | 2.015 | 2.571 | 3.365 | 4.032 |
| 6 | 1.440 | 1.943 | 2.447 | 3.143 | 3.707 |
| 7 | 1.415 | 1.895 | 2.365 | 2.998 | 3.499 |
| 8 | 1.
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