Homework Help is Here – Start Your Trial Now!
Math
Statistics
5.25 Voltage sags and swells. Refer to the Electrical Engineering (Vol. 95, 2013) study of the power quality (sags and swells) of a transformer, Exercise 2.76 (p. 85). For transformers built for heavy industry, the distribution of the number of sags per week has a mean of 353 with a standard deviation of 30. Of interest is, the sample mean number of sags per week for a random sample of 45 transformers. a. Find E(7) and interpret its value. b. Find Var(F). c. Describe the shape of the sampling distribution of . d. How likely is it to observe a sample mean number of sags per week that exceeds 400?

5.25 Voltage sags and swells. Refer to the Electrical Engineering (Vol. 95, 2013) study of the power quality (sags and swells) of a transformer, Exercise 2.76 (p. 85). For transformers built for heavy industry, the distribution of the number of sags per week has a mean of 353 with a standard deviation of 30. Of interest is, the sample mean number of sags per week for a random sample of 45 transformers. a. Find E(7) and interpret its value. b. Find Var(F). c. Describe the shape of the sampling distribution of . d. How likely is it to observe a sample mean number of sags per week that exceeds 400?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Please only do parts c and d

**5.25 Voltage Sags and Swells** *Refer to the Electrical Engineering (Vol. 95, 2013) study of the power quality (sags and swells) of a transformer, Exercise 2.76 (p. 85). For transformers built for heavy industry, the distribution of the number of sags per week has a mean of 353 with a standard deviation of 30. Of interest is \( \bar{x} \), the sample mean number of sags per week for a random sample of 45 transformers.* a. **Find \( E(\bar{x}) \) and interpret its value.** b. **Find \( \text{Var}(\bar{x}) \).** c. **Describe the shape of the sampling distribution of \( \bar{x} \).** d. **How likely is it to observe a sample mean number of sags per week that exceeds 400?**
Transcribed Image Text:**5.25 Voltage Sags and Swells** *Refer to the Electrical Engineering (Vol. 95, 2013) study of the power quality (sags and swells) of a transformer, Exercise 2.76 (p. 85). For transformers built for heavy industry, the distribution of the number of sags per week has a mean of 353 with a standard deviation of 30. Of interest is \( \bar{x} \), the sample mean number of sags per week for a random sample of 45 transformers.* a. **Find \( E(\bar{x}) \) and interpret its value.** b. **Find \( \text{Var}(\bar{x}) \).** c. **Describe the shape of the sampling distribution of \( \bar{x} \).** d. **How likely is it to observe a sample mean number of sags per week that exceeds 400?**
Expert Solution
Step 1

For the given distribution of no. of sags per week, it is given that, the mean of the distribution at the population level is 353, i.e., μ=353. And the standard deviation of the distribution at the population level is 30, i.e., σ=30.

 

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS