Answered: A manufacture of mouthwash claims their…

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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$**Hypothesis Testing for Mouthwash Ingredients** 6. A manufacturer of mouthwash claims that their product contains 10% of the active ingredient by volume. In a sample of 100 1-liter bottles, there was a total of 14 liters of active ingredient. Is there enough evidence to say that the active ingredient in this brand of mouthwash is different from 10%? Use $\alpha = 0.05$. 1. **Identify the parameter** 2. **Null Hypothesis** 3. **Alternative Hypothesis** 4. **Test Statistic** 5. **p-value** *Diagram:* This is a bell-shaped curve representing the normal distribution used to find the p-value. 6. **Conclusion**$

Transcribed Image Text:**Hypothesis Testing for Mouthwash Ingredients** 6. A manufacturer of mouthwash claims that their product contains 10% of the active ingredient by volume. In a sample of 100 1-liter bottles, there was a total of 14 liters of active ingredient. Is there enough evidence to say that the active ingredient in this brand of mouthwash is different from 10%? Use $\alpha = 0.05$. 1. **Identify the parameter** 2. **Null Hypothesis** 3. **Alternative Hypothesis** 4. **Test Statistic** 5. **p-value** *Diagram:* This is a bell-shaped curve representing the normal distribution used to find the p-value. 6. **Conclusion**

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Solution:

Let X be number of liters of ingredient and n be the number 1-liter bottles.

From the given information, X=14 and n=100.

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