Find the critical value for the confidence level c = 0.95 and sample size n = 18. Click the icon to view the t-distribution table.
Find the critical value for the confidence level c = 0.95 and sample size n = 18. Click the icon to view the t-distribution table.
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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![**Finding the Critical Value for Confidence Interval**
To find the critical value \( t_c \) for a confidence level of \( c = 0.95 \) and a sample size of \( n = 18 \), follow these steps:
1. **Determine Degrees of Freedom (df):**
\[
df = n - 1 = 18 - 1 = 17
\]
2. **Consult the t-distribution table:**
- Click the icon to view the t-distribution table.
- Locate the row corresponding to 17 degrees of freedom.
- Find the column for the 0.95 confidence level.
3. **Read the Critical Value:**
- Record the critical value \( t_c \) from the table.
- Round to the nearest thousandth as needed.
Insert the value in the box provided:
\[
t_c = \, \_\_
\]
**Note:** Ensure your value is precise, as accuracy is crucial for statistical analysis.
This interactive feature allows for easy access to statistical tables, aiding in accurate computations for various confidence intervals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35b6c70d-8de6-4ced-ba13-39b6b43ecdee%2Fa4c1a9ca-fa3a-40cd-af34-59ac33b2a89b%2Fot7fyk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Finding the Critical Value for Confidence Interval**
To find the critical value \( t_c \) for a confidence level of \( c = 0.95 \) and a sample size of \( n = 18 \), follow these steps:
1. **Determine Degrees of Freedom (df):**
\[
df = n - 1 = 18 - 1 = 17
\]
2. **Consult the t-distribution table:**
- Click the icon to view the t-distribution table.
- Locate the row corresponding to 17 degrees of freedom.
- Find the column for the 0.95 confidence level.
3. **Read the Critical Value:**
- Record the critical value \( t_c \) from the table.
- Round to the nearest thousandth as needed.
Insert the value in the box provided:
\[
t_c = \, \_\_
\]
**Note:** Ensure your value is precise, as accuracy is crucial for statistical analysis.
This interactive feature allows for easy access to statistical tables, aiding in accurate computations for various confidence intervals.
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