d. Find P(x > 65).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Can you do part d of the circled question?

Transcribed Image Text:Applying the Concepts-Basic
6.34 Corporate sustainability of CPA firms. Refer to the
Business and Society (Mar. 2011) study on the sustainabil-
ity behaviors of CPA corporations, Exercise 1.26 (p. 22).
Recall that corporate sustainability refers to business
practices designed around social and environmental con-
siderations. The level of support senior managers have for
corporate sustainability was measured quantitatively on a
scale ranging from 0 to 160 points, where higher point val-
ues indicate a higher level of support for sustainability. The
study provided the following information on the distribu-
tion of levels of support for sustainability: u = 68,0 = 27.
Now consider a random sample of 30 senior managers and
let i represent the sample mean level of support.
a. Give the value of uz, the mean of the sampling distribu-
tion of x, and interpret the result.
b. Give the value of ox, the standard deviation of the sam-
pling distribution of x, and interpret the result.
c. What does the Central Limit Theorem say about the
shape of the sampling distribution of x?
d. Find P(x > 65).
m
е
6.35 Voltage sags and swells. Refer to the Electrical Engineering
(Vol. 95, 2013) study of the power quality (sags and swells)
of a transformer, Exercise 2.127 (p. 82). 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 x, the sample mean number of sags per
week for a random sample of 45 transformers.
a. Find E(x) and interpret its value.
Expert Solution

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We want to find probability that sample mean is greater than 65.
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