Why is it that the correct answer is E? Are the explanation and answer right or not?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Why is it that the correct answer is E? Are the explanation and answer right or not?
Transcribed Image Text:14:50 538
<
D
00
00
(A) 29.4
(B) 100
(C) 609
(D) 864
(E) 865
A
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II.
A
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6. An ambitious farmer has set out to maximize the size of the eggs laid by his chickens. After careful thought, he has decided to
experiment with a new type of feed. Based on data acquired from the feed manufacturer, he learned that the standard deviation
of the eggs laid by the chickens that consumed the new feed is 7.5 g. Of the following, which is the fewest number of eggs that
should be sampled to obtain an estimate within 0.5 g of the true mean of egg weights, and at the farmer's insistence, at a confi-
dence of 95 percent?
QAA
7. Houston, Texas, decided to annex part of its surrounding counties. Statistics graduate students at the UT School of Public
...
Transcribed Image Text:6. E
The margin of error is calculated using the formula ME = Za X √n The farmer is looking for an
ME of 0.5 g and the standard deviation is 7.5 g. Z0.05 1.96. Substituting into the formula gets us:
96 (7/5), so n ≥ (
1.96 x 7.5
0.5
, so n ≥ 864.36. Choice (D) rounds down, but because the
sample size has to be greater than or equal to the expected value, this is not correct. The answer is
(E).
0.5 1.96
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