In an Oreo factory, the mean mass of a cookie is given as 12 g. For quality control, the standard deviation is 1 g. The distribution of cookie masses is normally distributed. 9 10 11 12 13 14 15 What % of cookies are within 1 g of the mean? B
In an Oreo factory, the mean mass of a cookie is given as 12 g. For quality control, the standard deviation is 1 g. The distribution of cookie masses is normally distributed. 9 10 11 12 13 14 15 What % of cookies are within 1 g of the mean? B
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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Question
![**Understanding Normal Distribution in Quality Control**
In an Oreo factory, the mean mass of a cookie is given as 12 grams. For quality control, the standard deviation is 1 gram. The distribution of cookie masses is normally distributed.
**Graph Explanation:**
The image shows a normal distribution curve, which is symmetrical and bell-shaped. The x-axis is labeled with values ranging from 9 to 15. The peak of the curve is centered around the mean value of 12 grams. This represents the highest frequency of occurrence for the cookie masses.
The graph illustrates how data is spread around the mean:
- 68% of data falls within one standard deviation (11 to 13 grams).
- 95% of data falls within two standard deviations (10 to 14 grams).
- 99.7% of data falls within three standard deviations (9 to 15 grams).
**Question:**
What percentage of cookies are within 1 gram of the mean?
[Input your answer in the provided box.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b3fc374-1571-4449-a779-c5bdc1c6be46%2Fb1b14241-d4a4-47c0-8ef8-df10e5c57654%2Fw9nhbil_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Normal Distribution in Quality Control**
In an Oreo factory, the mean mass of a cookie is given as 12 grams. For quality control, the standard deviation is 1 gram. The distribution of cookie masses is normally distributed.
**Graph Explanation:**
The image shows a normal distribution curve, which is symmetrical and bell-shaped. The x-axis is labeled with values ranging from 9 to 15. The peak of the curve is centered around the mean value of 12 grams. This represents the highest frequency of occurrence for the cookie masses.
The graph illustrates how data is spread around the mean:
- 68% of data falls within one standard deviation (11 to 13 grams).
- 95% of data falls within two standard deviations (10 to 14 grams).
- 99.7% of data falls within three standard deviations (9 to 15 grams).
**Question:**
What percentage of cookies are within 1 gram of the mean?
[Input your answer in the provided box.]
Expert Solution

Step 1
The mean is 12 g and standard deviation is 1 g.
Step by step
Solved in 2 steps with 2 images

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