I need number 5 AND SAMPLING DISTRIBUTIONS4.1 Critical Thinking Sketch a normal curve(a) with mean 15 and standard deviation 2.(b) with mean 15 and standard deviation 3.(c) with mean 12 and standard deviation 2.(d) with mean 12 and standard deviation 3.(e) Consider two normal curves. If the first one has a larger mean than thesecond one, must it have a larger standard deviation as well? Explainyour answer.5. | Basic Computation: Empirical Rule What percentage of the area under thenormal curve lies(a) to the left of u?(b) betweenu -o and u + o?(c) between u - 30 and u + 30?6. | Basic Computation: Empirical Rule What percentage of the area under thenormal curve lies(a) to the right of u?(b) betweenu - 20 andu + 20?(c) to the right of u +30?7.| Distribution: Heights of Coeds Assuming that the heights of college womenare normally distributed with mean 65 inches and standard deviation 2.5

Name: I need number 5 AND SAMPLING DISTRIBUTIONS4.1 Critical Thinking Sketch
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Description: I need number 5 AND SAMPLING DISTRIBUTIONS4.1 Critical Thinking Sketch a normal curve(a) with mean 15 and standard deviation 2.(b) with mean 15 and standard deviation 3.(c) with mean 12 and standard deviation 2.(d) with mean 12 and standard deviation

Answered: 5. | Basic Computation: Empirical Rule…

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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I need number 5

AND SAMPLING DISTRIBUTIONS
4.1 Critical Thinking Sketch a normal curve
(a) with mean 15 and standard deviation 2.
(b) with mean 15 and standard deviation 3.
(c) with mean 12 and standard deviation 2.
(d) with mean 12 and standard deviation 3.
(e) Consider two normal curves. If the first one has a larger mean than the
second one, must it have a larger standard deviation as well? Explain
your answer.
5. | Basic Computation: Empirical Rule What percentage of the area under the
normal curve lies
(a) to the left of u?
(b) betweenu -o and u + o?
(c) between u - 30 and u + 30?
6. | Basic Computation: Empirical Rule What percentage of the area under the
normal curve lies
(a) to the right of u?
(b) betweenu - 20 andu + 20?
(c) to the right of u +30?
7.| Distribution: Heights of Coeds Assuming that the heights of college women
are normally distributed with mean 65 inches and standard deviation 2.5

Expert Solution

Part (a)

$μ$ is the mean of the normal curve, and as all mean, median, and mode all coincide.

As the total area under the curve is assumed to be 1, and the area to the left of $μ =$ the area to the right of $μ$ ,

so both sides take $\frac{1}{2} = 0.5 = 50 %$ of the value.

The area to the left of $μ = 50 %$ .

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