MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 5, Problem 26P
The position x as a function of time of a particle that moves along a straight line is given by:
The velocity v(t) of the particle is determined by the derivative of x(t) with respect to i, and the acceleration a(t) is determined by the derivative of v(t) with respect to t. Derive the expressions for the velocity and acceleration of the particle. and make plots of the position, velocity, and acceleration as
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(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 5 Solutions
MATLAB: An Introduction with Applications
Ch. 5 - Prob. 1PCh. 5 - Use the plot command to plot the function...Ch. 5 - Use the plot command to plot the function...Ch. 5 - Plot the function (x)=x2exand its derivative for...Ch. 5 - Make two separate plots of the function...Ch. 5 - Use the fplot command to plot the funtion...Ch. 5 - Plot the function f(x) = sin(2x) cos2(0.5x) and...Ch. 5 - The orbit of the planet Mercury around the sun can...Ch. 5 - Prob. 9PCh. 5 - The butterfly curve (Fay. T. H. “The Butterfly...
Ch. 5 - A plot of an astroid is shown in the figure on the...Ch. 5 - Make the plot of the astroid that is shown in the...Ch. 5 - Plot the function f(x)=x26x+7x38 in the domain 0x4...Ch. 5 - Plot the function f(x)=x+1x21 for 4x4 . Notice...Ch. 5 - Prob. 15PCh. 5 - The shape of the pretzel shown is given by the...Ch. 5 - Prob. 17PCh. 5 - Make a polar of the function: =n135.7 r=n for n=1,...Ch. 5 - Prob. 19PCh. 5 - Plot two ellipses is one figure (shown). The...Ch. 5 - The following data gives the height (in inches) of...Ch. 5 - The volage Vc t second after closing the switch in...Ch. 5 - The force F (in N) acting between a particle with...Ch. 5 - The curvilinear motion of a particle is defined by...Ch. 5 - The height and speed of a projectile shoot at a...Ch. 5 - The position x as a function of time of a particle...Ch. 5 - According to Planck’s law of black- body...Ch. 5 - A high-pass filter passes signals with frequencies...Ch. 5 - A resistor, R = 4O, and an inductor, L = 1.3 H,...Ch. 5 - In a typical tension test a dog-bone shaped...Ch. 5 - According to special relativity, a rod of length L...Ch. 5 - A railroad bumper is designed to slow down a...Ch. 5 - The ideal gas equation states that PVRT=n, where P...Ch. 5 - Two sound waves of slightly different frequencies...Ch. 5 - Consider the diode circuit shown in the figure....Ch. 5 - A monochromatic light that passes through a double...Ch. 5 - A simply supported beam is loaded as shown. The...Ch. 5 - Biological oxygen demand (BOD) is a measure of the...Ch. 5 - The shape of a asymmetric four-digitseries NACA...Ch. 5 - The Taylor series expansion for sin2x is:...
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