Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a=0.10 level of significance with 20 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a=0.01 level of significance based on a sample size of n = 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a=0.01 level of significance based on a sample size of n=11. Click here to view the t-Distribution Area in Right Tail.
Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a=0.10 level of significance with 20 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a=0.01 level of significance based on a sample size of n = 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a=0.01 level of significance based on a sample size of n=11. Click here to view the t-Distribution Area in Right Tail.
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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I need help with B and C.
![### Critical Values for Population Mean Tests
#### Problem Statement
Complete parts (a) through (c) below:
1. **(a)** Determine the critical value(s) for a right-tailed test of a population mean at the \( \alpha = 0.10 \) level of significance with 20 degrees of freedom.
2. **(b)** Determine the critical value(s) for a left-tailed test of a population mean at the \( \alpha = 0.01 \) level of significance based on a sample size of \( n = 10 \).
3. **(c)** Determine the critical value(s) for a two-tailed test of a population mean at the \( \alpha = 0.01 \) level of significance based on a sample size of \( n = 11 \).
There is also a prompt mentioning the following:
- Click here to view the t-Distribution Area in Right Tail
#### Solution
- For **(a)**: The critical value \( t_{\text{crit}} \) for a right-tailed test of a population mean at \( \alpha = 0.10 \) with 20 degrees of freedom is:
\[
t_{\text{crit}} = +1.325 \quad (\text{Rounded to three decimal places as needed.})
\]
- For **(b)**: The critical value \( t_{\text{crit}} \) for a left-tailed test of a population mean at \( \alpha = 0.01 \) based on a sample size of \( n = 10 \) is:
\[
t_{\text{crit}} = -2.764 \quad (\text{Rounded to three decimal places as needed.})
\]
There is no data entry or critical value provided for part **(c)** in the image.
**Explanation:**
The calculations involve using a t-table or statistical software to find the critical t-values corresponding to the given significance levels (\( \alpha \)) and degrees of freedom (df). The degrees of freedom are calculated as \( n - 1 \), where \( n \) is the sample size.
### Visual Representation
There are no graphs or diagrams provided in the image. If necessary, students are encouraged to refer to a t-distribution table or use statistical software to compute the corresponding critical values for any additional parts not fully addressed in this solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F254f01d1-5636-4aee-8bdd-3770d49eb7a5%2F8d546f23-4c44-412c-9597-4533898f8fe3%2Fi5so29_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Critical Values for Population Mean Tests
#### Problem Statement
Complete parts (a) through (c) below:
1. **(a)** Determine the critical value(s) for a right-tailed test of a population mean at the \( \alpha = 0.10 \) level of significance with 20 degrees of freedom.
2. **(b)** Determine the critical value(s) for a left-tailed test of a population mean at the \( \alpha = 0.01 \) level of significance based on a sample size of \( n = 10 \).
3. **(c)** Determine the critical value(s) for a two-tailed test of a population mean at the \( \alpha = 0.01 \) level of significance based on a sample size of \( n = 11 \).
There is also a prompt mentioning the following:
- Click here to view the t-Distribution Area in Right Tail
#### Solution
- For **(a)**: The critical value \( t_{\text{crit}} \) for a right-tailed test of a population mean at \( \alpha = 0.10 \) with 20 degrees of freedom is:
\[
t_{\text{crit}} = +1.325 \quad (\text{Rounded to three decimal places as needed.})
\]
- For **(b)**: The critical value \( t_{\text{crit}} \) for a left-tailed test of a population mean at \( \alpha = 0.01 \) based on a sample size of \( n = 10 \) is:
\[
t_{\text{crit}} = -2.764 \quad (\text{Rounded to three decimal places as needed.})
\]
There is no data entry or critical value provided for part **(c)** in the image.
**Explanation:**
The calculations involve using a t-table or statistical software to find the critical t-values corresponding to the given significance levels (\( \alpha \)) and degrees of freedom (df). The degrees of freedom are calculated as \( n - 1 \), where \( n \) is the sample size.
### Visual Representation
There are no graphs or diagrams provided in the image. If necessary, students are encouraged to refer to a t-distribution table or use statistical software to compute the corresponding critical values for any additional parts not fully addressed in this solution.
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