### Educational Content on Hypothesis Testing #### Task: **1. Alternative Hypothesis:** - **Given Hypothesis**: \( H_a: \mu > 5 \) **Instructions**: - Match the alternative hypothesis with its corresponding graph. - Then, state the null hypothesis and sketch its graph. #### Graph Options for Alternative Hypothesis: - **Option A**: Graph starts at \(4\), with an open circle at 5, continuing with an arrow to the right. - **Option B**: Graph starts at \(5\), with an open circle at 5, continuing with an arrow to the right. - **Option C**: Graph starts at \(6\), with an open circle at 6, continuing with an arrow to the right. **Correct Option**: B (The graph begins at 5, matching \( \mu > 5 \)). **2. Null Hypothesis:** - **Null Hypothesis**: \( H_0: \mu \leq 5 \) **Instructions**: - Sketch the graph corresponding to the null hypothesis. #### Graph Options for Null Hypothesis: - **Graph starting at**: \( \mu = 5 \), with a solid dot, and extending with an arrow to the left, indicating \( \mu \leq 5 \). **Additional Resources**: - **Section 2.4 Homework** - **Section 2.5 Homework** This educational content guides students in understanding and applying hypothesis testing through graphical representation, enhancing comprehension in identifying correct hypothesis graphs based on given conditions. State the null hypothesis. \[ H_0: \mu = 5 \] Sketch a graph of the null hypothesis. Choose the correct graph below. - Option A: An arrow starting at 4 and pointing towards 5 - Option B: An arrow starting at 5 and pointing towards 6 - Option C: An arrow starting at 5 and pointing towards 6 - Option D: An arrow starting at 5 and pointing towards 6 - Option E: An arrow starting at 5 and pointing towards 6 - Option F: An arrow starting at 4 and pointing towards 5 Click to select your answer. --- This is an interactive exercise meant to help students understand how to illustrate null hypotheses graphically.
### Educational Content on Hypothesis Testing #### Task: **1. Alternative Hypothesis:** - **Given Hypothesis**: \( H_a: \mu > 5 \) **Instructions**: - Match the alternative hypothesis with its corresponding graph. - Then, state the null hypothesis and sketch its graph. #### Graph Options for Alternative Hypothesis: - **Option A**: Graph starts at \(4\), with an open circle at 5, continuing with an arrow to the right. - **Option B**: Graph starts at \(5\), with an open circle at 5, continuing with an arrow to the right. - **Option C**: Graph starts at \(6\), with an open circle at 6, continuing with an arrow to the right. **Correct Option**: B (The graph begins at 5, matching \( \mu > 5 \)). **2. Null Hypothesis:** - **Null Hypothesis**: \( H_0: \mu \leq 5 \) **Instructions**: - Sketch the graph corresponding to the null hypothesis. #### Graph Options for Null Hypothesis: - **Graph starting at**: \( \mu = 5 \), with a solid dot, and extending with an arrow to the left, indicating \( \mu \leq 5 \). **Additional Resources**: - **Section 2.4 Homework** - **Section 2.5 Homework** This educational content guides students in understanding and applying hypothesis testing through graphical representation, enhancing comprehension in identifying correct hypothesis graphs based on given conditions. State the null hypothesis. \[ H_0: \mu = 5 \] Sketch a graph of the null hypothesis. Choose the correct graph below. - Option A: An arrow starting at 4 and pointing towards 5 - Option B: An arrow starting at 5 and pointing towards 6 - Option C: An arrow starting at 5 and pointing towards 6 - Option D: An arrow starting at 5 and pointing towards 6 - Option E: An arrow starting at 5 and pointing towards 6 - Option F: An arrow starting at 4 and pointing towards 5 Click to select your answer. --- This is an interactive exercise meant to help students understand how to illustrate null hypotheses graphically.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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