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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Please only do parts c and d
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 , the sample mean number of
sags per week for a random sample of 45 transformers.
a. Find E(T) and interpret its value.
b. Find Var(z).
c. Describe the shape of the sampling distribution of I.
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., . And the standard deviation of the distribution at the population level is 30, i.e., .
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