Hi, I need help with the rest of the parts for this full exercise, please provide as much parts as you can. Thanks in advance. (The data is given and solved all the way to part 2D, so I need help solving part 3A,B and C). Please help and thanks in advance. **West Coast University****Signature Assignment - Page 2 of 2**3. (CLO 2) Test a claim that the mean height of your population is different from 64 inches. Use the appropriate significance level α you fixed earlier. a. State the initial and alternative hypothesis. b. Find the test statistic and the P-value. You must first write the formula for the test statistic and then substitute your appropriate numbers. c. Draw a conclusion in context of the situation. Your conclusion should include both the formal language as well as an informal explanation.4. (CLO 3) Find a correlation between height and shoe size. a. Create a scatterplot of the data. Height is x-axis and shoe size is y-axis. Attach your scatterplot to the end of this document. b. Find the linear correlation coefficient. What does this tell you about your data? c. Write the equation of the regression line and use it to predict the shoe size of a person that is 68 inches tall.5. Write a paragraph or two about what you have learned from this process. When you read, see, or hear a statistic in the future, what skills will you apply to know whether you can trust the result? ### Constructing Confidence Intervals for Mean Height and Shoe Size#### Data Collection- **Height and Shoe Size Data:** - Person 1: Height = 72, Shoe Size = 13 - Person 2: Height = 69, Shoe Size = 13 - Person 3: Height = 64, Shoe Size = 11 - Person 4: Height = 69, Shoe Size = 12 - Person 5: Height = 71, Shoe Size = 12 - Person 6: Height = 74, Shoe Size = 14 - Person 7: Height = 70, Shoe Size = 12 - Person 8: Height = 67, Shoe Size = 11 - Person 9: Height = 61, Shoe Size = 12#### Steps to Construct Confidence Intervals1. **Choose Confidence Level:** - 95% confidence level is selected, denoted by $\alpha = 0.05$.2. **Calculate Sample Mean and Standard Deviation:** - **Height:** - Sample Mean ($\bar{x}$) = 68.556 - Sample Standard Deviation ($s_x$) = 4.03 - **Shoe Size:** - Sample Mean ($\bar{y}$) = 12.222 - Sample Standard Deviation ($s_y$) = 0.9713. **Construct and Interpret Confidence Interval for Mean Height:** - Formula: $\left(\bar{x} - t_c \frac{s}{\sqrt{n}}, \bar{x} + t_c \frac{s}{\sqrt{n}}\right)$ - Computation: \[ \left(68.556 - 2.306 \times \frac{4.03}{\sqrt{9}}, 68.556 + 2.306 \times \frac{4.03}{\sqrt{9}}\right) \] - Result: $65.458 < \mu < 71.654$4. **Construct and Interpret Confidence Interval for Mean Shoe Size:** - Formula: \(\left(\bar{y} - t_c \frac{s}{\sqrt{n}}, \bar{y} + t_c \frac{s}{\

Since you have asked multiple question, we will solve the first question for you. If you want any…

3. (CLO 2) Test a claim that the mean height of your population is different from 64 inches. Use the appropriate significance level a you fixed earlier. a. State the initial and alternative hypothesis. b. Find the test statistic and the P-value. You must first write the formula for the test statistic and then substitute your appropriate numbers. c. Draw a conclusion in context of the situation. Your conclusion should include both the formal language as well as an informal explanation.

3. (CLO 2) Test a claim that the mean height of your population is different from 64 inches. Use the appropriate significance level a you fixed earlier. a. State the initial and alternative hypothesis. b. Find the test statistic and the P-value. You must first write the formula for the test statistic and then substitute your appropriate numbers. c. Draw a conclusion in context of the situation. Your conclusion should include both the formal language as well as an informal explanation.

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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Hi, I need help with the rest of the parts for this full exercise, please provide as much parts as you can. Thanks in advance. (The data is given and solved all the way to part 2D, so I need help solving part 3A,B and C). Please help and thanks in advance.

**West Coast University**

**Signature Assignment - Page 2 of 2**

3. (CLO 2) Test a claim that the mean height of your population is different from 64 inches. Use the appropriate significance level α you fixed earlier.

a. State the initial and alternative hypothesis.

b. Find the test statistic and the P-value. You must first write the formula for the test statistic and then substitute your appropriate numbers.

c. Draw a conclusion in context of the situation. Your conclusion should include both the formal language as well as an informal explanation.

4. (CLO 3) Find a correlation between height and shoe size.

a. Create a scatterplot of the data. Height is x-axis and shoe size is y-axis. Attach your scatterplot to the end of this document.

b. Find the linear correlation coefficient. What does this tell you about your data?

c. Write the equation of the regression line and use it to predict the shoe size of a person that is 68 inches tall.

5. Write a paragraph or two about what you have learned from this process. When you read, see, or hear a statistic in the future, what skills will you apply to know whether you can trust the result?

### Constructing Confidence Intervals for Mean Height and Shoe Size

#### Data Collection

- **Height and Shoe Size Data:**
- Person 1: Height = 72, Shoe Size = 13
- Person 2: Height = 69, Shoe Size = 13
- Person 3: Height = 64, Shoe Size = 11
- Person 4: Height = 69, Shoe Size = 12
- Person 5: Height = 71, Shoe Size = 12
- Person 6: Height = 74, Shoe Size = 14
- Person 7: Height = 70, Shoe Size = 12
- Person 8: Height = 67, Shoe Size = 11
- Person 9: Height = 61, Shoe Size = 12

#### Steps to Construct Confidence Intervals

1. **Choose Confidence Level:**
- 95% confidence level is selected, denoted by $\alpha = 0.05$.

2. **Calculate Sample Mean and Standard Deviation:**
- **Height:**
- Sample Mean ($\bar{x}$) = 68.556
- Sample Standard Deviation ($s_x$) = 4.03
- **Shoe Size:**
- Sample Mean ($\bar{y}$) = 12.222
- Sample Standard Deviation ($s_y$) = 0.971

3. **Construct and Interpret Confidence Interval for Mean Height:**
- Formula: $\left(\bar{x} - t_c \frac{s}{\sqrt{n}}, \bar{x} + t_c \frac{s}{\sqrt{n}}\right)$
- Computation:
\[
\left(68.556 - 2.306 \times \frac{4.03}{\sqrt{9}}, 68.556 + 2.306 \times \frac{4.03}{\sqrt{9}}\right)
\]
- Result: $65.458 < \mu < 71.654$

4. **Construct and Interpret Confidence Interval for Mean Shoe Size:**
- Formula: \(\left(\bar{y} - t_c \frac{s}{\sqrt{n}}, \bar{y} + t_c \frac{s}{\

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