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
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
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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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc24d0110-74e6-4765-afd2-6bfe95475961%2F55a7760e-37ca-4fba-a18b-f16e6a74d5a5%2Fvtqqh6_processed.jpeg&w=3840&q=75)
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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