MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Textbook Question
Chapter 2, Problem 15P
Use a single command to create a row
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Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of
each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means
is on the left below, and that of the 50 confidence intervals is on the right.
1. What does each dot on the left hand dotplot represent?
StatKey Sampling Distribution for a Mean
Percent with Internet Access (Countries) ▾
Show Data Table Edit Data
Choose samples of size n =
20
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Change Column(s)
Generate 1 Sample
Generate 10 Samples
Generate 100 Samples
Generate 1000 Samples
Reset Plot
Sampling Dotplot of Mean
Left Tail Two-Tail Right Tail
60
50
40
40
30
20
20
10
samples = 50
mean = 41.626
std. error = 5.089
:
.:
:
::
0
25
30
35
40
45
50
55
60
41.626
Data Plots
Confidence Intervals
95%->
Confidence Intervals
Coverage
48/50 = 96%
20
40
60
80
2. Circle the confidence intervals that failed to capture the true mean.
3. Circle the sample means that produced those…
Example 4 (Part 1) One of the datasets in the Lock book
contains information about 215 countries of the world. One
of the variables is the percentage of people in the country
who have access to the internet. We have data for 203 of
those countries. The plot on the right shows a dotplot of
the data.
1. What are the cases?
Population
n = 203, mean = 43.024
median = 43.5, stdev = 29.259
20
2. What does each dot on the dotplot represent?
15
10
5
20
40
43.024
60
80
3. What type of data is do we collect from the cases, quantitative or categorical?
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n =6 professional basketball players gave the following information.
x
63
79
70
80
84
87
y
46
49
45
55
57
58
Find Se. Round your answer to three decimal places.
Chapter 2 Solutions
MATLAB: An Introduction with Applications
Ch. 2 - Prob. 1PCh. 2 - Create a variable b that is a row vector with the...Ch. 2 - Create a variable c that is a colums vector with...Ch. 2 - Create a variable d that is a column vectorwith...Ch. 2 - Define the variables x= 3.4 and y= 5.8, and then...Ch. 2 - Define the variables c = 4.5 and d = 2.8, and then...Ch. 2 - Create a variable g that is a row vector in which...Ch. 2 - Create a variable h that is a row vector with...Ch. 2 - Create a variable M that is a column vector in...Ch. 2 - Create a variable N that is a column vector with...
Ch. 2 - Using the colon symbol, create a row vector...Ch. 2 - Using the linspace command, create a row vector...Ch. 2 - Using the colon symbol, create a variable named...Ch. 2 - Use a single command to create a row vector...Ch. 2 - Use a single command to create a row vector...Ch. 2 - Use a single command to create a row vector...Ch. 2 - Create two row vectors v=41:-3:29 and w=17:4:37....Ch. 2 - Create two column vectors T= [5:5:25]’ and S=...Ch. 2 - Create a row vectors A=4:3:13 and a column vector...Ch. 2 - Create a row vector vA=1: 3 : 34 that has 12...Ch. 2 - Create a row vector vC=2 :3 :38 that has 13...Ch. 2 - Create two row vectors vD=20 :4 :44 and vE=50 :3...Ch. 2 - Create a nine-element row vector vF=5 : 7: 61....Ch. 2 - Create the following matrix by assigning vectors...Ch. 2 - Create the following vector by using the linspace...Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following three row vectors: a=[58102]...Ch. 2 - Create the following three row vectors: a= [5 8 -1...Ch. 2 - Create the following to row vectors: d=[6-1 4 0 -2...Ch. 2 - Prob. 34PCh. 2 - Create the following vector: V=[5 0 -3 7 6 -1 2 8...Ch. 2 - Create the following vectors: u= [0 9 -5 6 3 -1 2]...Ch. 2 - Create the following matrix M: M= 1 7 13 19 25 3 9...Ch. 2 - Create the following matrix N: N= 0 3 6 9 12 15 18...Ch. 2 - Create the following matrix G: G= 0.1 0.2 0.3 0.4...Ch. 2 - Create the following matrix K: K= 0.25 0.5 0.75...Ch. 2 - The following matrix is defined in MATLAB: S= 1 2...Ch. 2 - The following matrix is defined in MATLAB: T= 2 4...Ch. 2 - By hand (pencil and paper) write what will be...Ch. 2 - Using the zeros, ones, and eye commands, create...Ch. 2 - Use the eye, ones, and zeros command to create the...
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- Problem 3 In their lab, engineer Daniel and Paulina are desperately trying to perfect time travel. But the problem is that their machine still struggles with power inconsistencies-sometimes generating too little energy, other times too much, causing unstable time jumps. To prevent catastrophic misjumps into the Jurassic era or the far future, they must calibrate the machine's power output. After extensive testing, they found that the time machine's power output follows a normal distribution, with an average energy level of 8.7 gigawatts and a standard deviation of 1.2 gigawatts. The Time Travel Safety Board has set strict guidelines: For a successful time jump, the machine's power must be between 8.5 and 9.5 gigawatts. What is the probability that a randomly selected time jump meets this precision requirement? Daniel suggests that adjusting the mean power output could improve time-travel accuracy. Can adjusting the mean reduce the number of dangerous misjumps? If yes, what should the…arrow_forwardProblem 5 ( Marybeth is also interested in the experiment from Problem 2 (associated with the enhancements for Captain America's shield), so she decides to start a detailed literature review on the subject. Among others, she found a paper where they used a 2"(4-1) fractional factorial design in the factors: (A) shield material, (B) throwing mechanism, (C) edge modification, and (D) handle adjustment. The experimental design used in the paper is shown in the table below. a. Run A B с D 1 (1) -1 -1 -1 1 2 a 1 -1 -1 1 3 bd -1 1 -1 1 4 abd 1 1 -1 1 5 cd -1 -1 1 -1 6 acd 1 -1 1 -1 7 bc -1 1 1 -1 abc 1 1 1 -1 paper? s) What was the generator used in the 2"(4-1) fractional factorial design described in the b. Based on the resolution of this design, what do you think about the generator used in the paper? Do you think it was a good choice, or would you have selected a different one? Explain your answer in detail.arrow_forwardSuppose we wish to test the hypothesis that women with a sister’s history of breast cancer are at higher risk of developing breast cancer themselves. Suppose we assume that the prevalence rate of breast cancer is 3% among 60- to 64-year-old U.S. women, whereas it is 5% among women with a sister history. We propose to interview 400 women 40 to 64 years of age with a sister history of the disease. What is the power of such a study assuming that the level of significance is 10%? I only need help writing the null and alternative hypotheses.arrow_forward
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