the image 2 contains the second last questions. .....Remember to state the null hypothesis?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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the image 2 contains the second last questions. .....Remember to state the null hypothesis?
**Matching Alternative Hypothesis to Graph**

**Objective:**
Match the alternative hypothesis shown below with its corresponding graph. Afterward, state the null hypothesis and illustrate it graphically.

**Alternative Hypothesis:**
\[ H_a: \mu > 6 \]

**Instructions:**
Select the graph that represents the stated alternative hypothesis from the options below.

**Graph Options:**

- **Option A:**
  - Horizontal number line with shaded region starting from just above 6 and extending to the right with an open circle at 6, indicating values greater than 6.

- **Option B:**
  - Horizontal number line with shaded region spanning from 5 and extending right, including values starting from 6 onwards with an open circle at 6.

- **Option C:**
  - Horizontal number line with shaded region starting from 5 and extending right entirely, including values equal to and greater than 6.

**Task:**
Determine which graph (A, B, or C) best matches the alternative hypothesis \( \mu > 6 \).

**Next Step:**
State the null hypothesis in the space provided below:
\[ \underline{\hspace{2cm}} \]

**Interactive Component:**
Select your answer by clicking the appropriate option.
Transcribed Image Text:**Matching Alternative Hypothesis to Graph** **Objective:** Match the alternative hypothesis shown below with its corresponding graph. Afterward, state the null hypothesis and illustrate it graphically. **Alternative Hypothesis:** \[ H_a: \mu > 6 \] **Instructions:** Select the graph that represents the stated alternative hypothesis from the options below. **Graph Options:** - **Option A:** - Horizontal number line with shaded region starting from just above 6 and extending to the right with an open circle at 6, indicating values greater than 6. - **Option B:** - Horizontal number line with shaded region spanning from 5 and extending right, including values starting from 6 onwards with an open circle at 6. - **Option C:** - Horizontal number line with shaded region starting from 5 and extending right entirely, including values equal to and greater than 6. **Task:** Determine which graph (A, B, or C) best matches the alternative hypothesis \( \mu > 6 \). **Next Step:** State the null hypothesis in the space provided below: \[ \underline{\hspace{2cm}} \] **Interactive Component:** Select your answer by clicking the appropriate option.
**Hypothesis Testing and Graph Sketching**

In this exercise, we will practice matching alternative hypotheses with corresponding graphs and sketching null hypothesis graphs. 

**1. Alternative Hypothesis**
- Given Alternative Hypothesis: \( H_a: \mu > 6 \)

Observe the graphs provided. The graph corresponding to the alternative hypothesis \( \mu > 6 \) should have an open circle at 6 and a line extending to the right, indicating values greater than 6.

**2. Null Hypothesis**
- State the Null Hypothesis: \( H_0: \mu \leq 6 \)

**3. Graph Options for Null Hypothesis**

Below are the graph choices labeled A through F:

- **A:** Horizontal line with an open circle at 6 extending to the left.
- **B:** Line with an open circle at 6 extending to both left and right.
- **C:** Line starting at 5 extending past 8.
- **D:** Similar to B but with different length.
- **E:** Horizontal line with a closed circle at 6 extending to the left.
- **F:** Horizontal line starting at an open circle at 6 extending to the right.

**Correct Graph for Null Hypothesis**

- The correct graph illustrating the null hypothesis \( \mu \leq 6 \) is graph E. It has a closed circle at 6 and extends to the left, indicating all values less than or equal to 6.

Select the correct graph to ensure your understanding of how to illustrate hypotheses correctly.
Transcribed Image Text:**Hypothesis Testing and Graph Sketching** In this exercise, we will practice matching alternative hypotheses with corresponding graphs and sketching null hypothesis graphs. **1. Alternative Hypothesis** - Given Alternative Hypothesis: \( H_a: \mu > 6 \) Observe the graphs provided. The graph corresponding to the alternative hypothesis \( \mu > 6 \) should have an open circle at 6 and a line extending to the right, indicating values greater than 6. **2. Null Hypothesis** - State the Null Hypothesis: \( H_0: \mu \leq 6 \) **3. Graph Options for Null Hypothesis** Below are the graph choices labeled A through F: - **A:** Horizontal line with an open circle at 6 extending to the left. - **B:** Line with an open circle at 6 extending to both left and right. - **C:** Line starting at 5 extending past 8. - **D:** Similar to B but with different length. - **E:** Horizontal line with a closed circle at 6 extending to the left. - **F:** Horizontal line starting at an open circle at 6 extending to the right. **Correct Graph for Null Hypothesis** - The correct graph illustrating the null hypothesis \( \mu \leq 6 \) is graph E. It has a closed circle at 6 and extends to the left, indicating all values less than or equal to 6. Select the correct graph to ensure your understanding of how to illustrate hypotheses correctly.
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