he Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget veights have a mean of 57 ounces and a standard deviation of 7 ounces. Jse the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between 50 V o and 64 b) What percentage of the widget weights lie between 43 and 64 ounces? 81.86 c) What percentage of the widget weights lie above 36 ? 99.87 Question Help: Video Message instructor Submit Question

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**Title: Understanding the Distribution of Widget Weights**

**Introduction:**

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped, characterized by a mean of 57 ounces and a standard deviation of 7 ounces. We will use the Standard Deviation Rule, also known as the Empirical Rule, to analyze the distribution.

**Suggestion:** Sketch the distribution to better visualize and answer the following questions.

**Questions and Answers:**

a) **68% of the widget weights lie between:**

   - **Lower bound:** 50 ounces 
   - **Upper bound:** 64 ounces 
   - This is correct, as shown by the check mark.

b) **What percentage of the widget weights lie between 43 and 64 ounces?**

   - **Your answer:** 81.86%
   - The answer is incorrect, indicated by the red cross.

c) **What percentage of the widget weights lie above 36 ounces?**

   - **Your answer:** 99.87%
   - This is correct, as shown by the check mark.

**Resources:**

- **Question Help:** 
  - [Video]
  - [Message Instructor]

**Action:**
- [Submit Question] button for submission of answers.

---

**Note:** It’s essential to use the Empirical Rule accurately to understand these distributions, often visualized using a normal distribution curve.
Transcribed Image Text:**Title: Understanding the Distribution of Widget Weights** **Introduction:** The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped, characterized by a mean of 57 ounces and a standard deviation of 7 ounces. We will use the Standard Deviation Rule, also known as the Empirical Rule, to analyze the distribution. **Suggestion:** Sketch the distribution to better visualize and answer the following questions. **Questions and Answers:** a) **68% of the widget weights lie between:** - **Lower bound:** 50 ounces - **Upper bound:** 64 ounces - This is correct, as shown by the check mark. b) **What percentage of the widget weights lie between 43 and 64 ounces?** - **Your answer:** 81.86% - The answer is incorrect, indicated by the red cross. c) **What percentage of the widget weights lie above 36 ounces?** - **Your answer:** 99.87% - This is correct, as shown by the check mark. **Resources:** - **Question Help:** - [Video] - [Message Instructor] **Action:** - [Submit Question] button for submission of answers. --- **Note:** It’s essential to use the Empirical Rule accurately to understand these distributions, often visualized using a normal distribution curve.
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