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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.

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.

MATLAB: An Introduction with Applications
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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**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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