The number of ounces of water a person drinks per day is normally distributed with a standard deviation of 15 ounces. If Sean drinks 88 ounces per day with a z- score of 1.6, what is the mean ounces of water a day that a person drinks? Submit
The number of ounces of water a person drinks per day is normally distributed with a standard deviation of 15 ounces. If Sean drinks 88 ounces per day with a z- score of 1.6, what is the mean ounces of water a day that a person drinks? Submit
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Topic Video
Question
![### Probability and Statistics Review
#### Instructor: Jane Jackson
**Problem:**
The number of ounces of water a person drinks per day is normally distributed with a standard deviation of 15 ounces. If Sean drinks 88 ounces per day with a z-score of 1.6, what is the mean ounces of water a day that a person drinks?
_Answer:_ _______
**Explanation:**
To solve this problem, use the z-score formula:
\[ z = \frac{(X - \mu)}{\sigma} \]
Where:
- \( z \) is the z-score
- \( X \) is the value in question (88 ounces)
- \( \mu \) is the mean
- \( \sigma \) is the standard deviation (15 ounces)
Rearrange the formula to solve for the mean (\( \mu \)):
\[ \mu = X - z\sigma \]
Substitute in the known values:
\[ \mu = 88 - (1.6 \times 15) \]
\[ \mu = 88 - 24 \]
\[ \mu = 64 \]
So, the mean ounces of water a person drinks per day is 64 ounces.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F103fb792-b567-4744-a444-2b7a46ef5541%2F5804884e-da3d-495c-97aa-9308241e9e8f%2Fkk7tp8s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability and Statistics Review
#### Instructor: Jane Jackson
**Problem:**
The number of ounces of water a person drinks per day is normally distributed with a standard deviation of 15 ounces. If Sean drinks 88 ounces per day with a z-score of 1.6, what is the mean ounces of water a day that a person drinks?
_Answer:_ _______
**Explanation:**
To solve this problem, use the z-score formula:
\[ z = \frac{(X - \mu)}{\sigma} \]
Where:
- \( z \) is the z-score
- \( X \) is the value in question (88 ounces)
- \( \mu \) is the mean
- \( \sigma \) is the standard deviation (15 ounces)
Rearrange the formula to solve for the mean (\( \mu \)):
\[ \mu = X - z\sigma \]
Substitute in the known values:
\[ \mu = 88 - (1.6 \times 15) \]
\[ \mu = 88 - 24 \]
\[ \mu = 64 \]
So, the mean ounces of water a person drinks per day is 64 ounces.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra And Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
![Introduction to Linear Algebra, Fifth Edition](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
![College Algebra (Collegiate Math)](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education