30 30 42 35 22 33 31 29 19 23 Assume that the odor threshold for untrained noses is Normally distributed with o = 7 µg/L. Is there evi- dence that the mean threshold for untrained tasters is greater than 25 µg/L?

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## Chapter 17: Tests of Significance: The Basics

### Odor Thresholds for Untrained Students

The sensitivity of consumers' noses may vary. Below are the DMS odor thresholds for 10 untrained students, measured in micrograms per liter (µg/L): 

- 30, 30, 42, 35, 22, 33, 31, 29, 19, 23

Assuming that the odor threshold for untrained noses is normally distributed with a standard deviation (σ) of 7 µg/L, we pose the question: 

**Is there evidence that the mean threshold for untrained tasters is greater than 25 µg/L?**

### Explanation

- **Data:** Represents the odor detection capability in µg/L for a group of untrained students.
- **Distribution:** The data is assumed to follow a normal distribution.
- **Standard Deviation (σ):** Given as 7 µg/L.

This setup can be used to perform a significance test to determine if the mean odor threshold is statistically greater than 25 µg/L.
Transcribed Image Text:## Chapter 17: Tests of Significance: The Basics ### Odor Thresholds for Untrained Students The sensitivity of consumers' noses may vary. Below are the DMS odor thresholds for 10 untrained students, measured in micrograms per liter (µg/L): - 30, 30, 42, 35, 22, 33, 31, 29, 19, 23 Assuming that the odor threshold for untrained noses is normally distributed with a standard deviation (σ) of 7 µg/L, we pose the question: **Is there evidence that the mean threshold for untrained tasters is greater than 25 µg/L?** ### Explanation - **Data:** Represents the odor detection capability in µg/L for a group of untrained students. - **Distribution:** The data is assumed to follow a normal distribution. - **Standard Deviation (σ):** Given as 7 µg/L. This setup can be used to perform a significance test to determine if the mean odor threshold is statistically greater than 25 µg/L.
### Understanding Odor Thresholds in Wine

**Sulfur Compounds and Odor Detection:**

Wine can sometimes have undesirable "off-odors" due to the presence of sulfur compounds. Winemakers aim to identify the odor threshold, which is the minimum concentration of a compound detectable by the human nose.

**Dimethyl Sulfide (DMS) Specifics:**

- The specific focus here is on dimethyl sulfide (DMS), a sulfur compound.
- The odor threshold for DMS among trained wine tasters is approximately 25 micrograms per liter of wine (µg/L).
- This highlights the sensitivity and training required for wine tasting and quality control.

**4-Step Process Indication:**

- The image includes a "4step" label, suggesting a structured method or framework related to the topic, though details on this process are not provided in the text itself.
Transcribed Image Text:### Understanding Odor Thresholds in Wine **Sulfur Compounds and Odor Detection:** Wine can sometimes have undesirable "off-odors" due to the presence of sulfur compounds. Winemakers aim to identify the odor threshold, which is the minimum concentration of a compound detectable by the human nose. **Dimethyl Sulfide (DMS) Specifics:** - The specific focus here is on dimethyl sulfide (DMS), a sulfur compound. - The odor threshold for DMS among trained wine tasters is approximately 25 micrograms per liter of wine (µg/L). - This highlights the sensitivity and training required for wine tasting and quality control. **4-Step Process Indication:** - The image includes a "4step" label, suggesting a structured method or framework related to the topic, though details on this process are not provided in the text itself.
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