For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 22 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week. Check Answer

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Student Study Hours Analysis Using the Empirical Rule**

For a 4-unit class like Statistics, it is recommended that students spend an average of 12 hours studying per week. A survey was conducted on 22 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours.

**Use the Empirical Rule to Answer the Following Questions:**

a) **68% of the students spend between** _____ and _____ **hours on Statistics each week.**

b) **95% of the students spend between** _____ and _____ **hours on Statistics each week.**

c) **99.7% of the students spend between** _____ and _____ **hours on Statistics each week.**

*Note: The Empirical Rule (or 68-95-99.7 rule) states that for a normal distribution:*
- *68% of data falls within one standard deviation (σ) of the mean (μ).*
- *95% falls within two standard deviations.*
- *99.7% falls within three standard deviations.*

*(Interactive "Check Answer" button available below the questions to validate your responses.)*
Transcribed Image Text:**Student Study Hours Analysis Using the Empirical Rule** For a 4-unit class like Statistics, it is recommended that students spend an average of 12 hours studying per week. A survey was conducted on 22 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours. **Use the Empirical Rule to Answer the Following Questions:** a) **68% of the students spend between** _____ and _____ **hours on Statistics each week.** b) **95% of the students spend between** _____ and _____ **hours on Statistics each week.** c) **99.7% of the students spend between** _____ and _____ **hours on Statistics each week.** *Note: The Empirical Rule (or 68-95-99.7 rule) states that for a normal distribution:* - *68% of data falls within one standard deviation (σ) of the mean (μ).* - *95% falls within two standard deviations.* - *99.7% falls within three standard deviations.* *(Interactive "Check Answer" button available below the questions to validate your responses.)*
Expert Solution
Step 1: Given information

According to the given information, we have

The distribution is normal.

Given that,

Mean = 12 hours

Standard deviation = 2.6 hours

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman