Match the alternative hypothesis shown below with ts graph to the right. Then state the null hypothesis and sketch its graph. Ha o=5 Match the alternative hypothesis to its graph. Choose the correct graph below. OA. O B.

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Chapter1: Starting With Matlab
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**Instructions:**

Match the alternative hypothesis shown below with its graph to the right. Then state the null hypothesis and sketch its graph.

**Given Hypotheses:**

- Alternative Hypothesis (\( H_a \)): \( \sigma \neq 5 \)

**Graphs Explanation:**

- There are three labeled options (A, B, C) with horizontal lines extending between various numbers.

**Graph Descriptions:**

1. **Option A:** 
   - A horizontal line starts from slightly below 4 and ends slightly above 6.
   - A vertical line at 5 indicates a gap, suggesting a two-tailed distribution.

2. **Option B:** 
   - A horizontal line stretches from slightly below 4 to slightly above 7.
   - The section at 5 is continuous, not indicating a two-tailed scenario.

3. **Option C:** 
   - A horizontal line begins slightly below 1 and extends to slightly above 7.
   - Similar to option A, the section at 5 is not distinct, meaning it does not match the alternative hypothesis.

**Conclusion:**

Select the graph in Option A, which visually represents the alternative hypothesis \( \sigma \neq 5 \) by having a break or gap at 5, indicating values not equal to 5.

**Null Hypothesis (\( H_0 \)) for Sketching:**

- Null Hypothesis (\( H_0 \)): \( \sigma = 5 \)

For the null hypothesis graph, a single horizontal line should be drawn at \( \sigma = 5 \) spanning the entire graph range, indicating no deviation from the value of 5.
Transcribed Image Text:**Instructions:** Match the alternative hypothesis shown below with its graph to the right. Then state the null hypothesis and sketch its graph. **Given Hypotheses:** - Alternative Hypothesis (\( H_a \)): \( \sigma \neq 5 \) **Graphs Explanation:** - There are three labeled options (A, B, C) with horizontal lines extending between various numbers. **Graph Descriptions:** 1. **Option A:** - A horizontal line starts from slightly below 4 and ends slightly above 6. - A vertical line at 5 indicates a gap, suggesting a two-tailed distribution. 2. **Option B:** - A horizontal line stretches from slightly below 4 to slightly above 7. - The section at 5 is continuous, not indicating a two-tailed scenario. 3. **Option C:** - A horizontal line begins slightly below 1 and extends to slightly above 7. - Similar to option A, the section at 5 is not distinct, meaning it does not match the alternative hypothesis. **Conclusion:** Select the graph in Option A, which visually represents the alternative hypothesis \( \sigma \neq 5 \) by having a break or gap at 5, indicating values not equal to 5. **Null Hypothesis (\( H_0 \)) for Sketching:** - Null Hypothesis (\( H_0 \)): \( \sigma = 5 \) For the null hypothesis graph, a single horizontal line should be drawn at \( \sigma = 5 \) spanning the entire graph range, indicating no deviation from the value of 5.
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