I need help with B and C. ### Critical Values for Population Mean Tests#### Problem StatementComplete 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 RepresentationThere 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.

a. α=0.10 df=20 for right-tailed testtcrit=+1.325(from statistical table)b.α=0.01n=10The degrees…

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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Question

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.

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