1 Starting With Matlab 2 Creating Arrays 3 Mathematical Operations With Arrays 4 Using Script Files And Managing Data 5 Two-dimensional Plots 6 Programming In Matlab 7 User-defined Functions And Function Files 8 Polynomials, Curve Fitting, And Interpolation 9 Applications In Numerical Analysis 10 Three-dimensional Plots 11 Symbolic Math Chapter1: Starting With Matlab
Chapter Questions Section: Chapter Questions
Problem 1P Problem 2P: Calculate: (a) 8+802.6+e3.53 (b) 175)+733.131/4+550.41 Problem 3P: Calculate: (a) 23+453160.7+log10589006 (b) (36.12.25)(e2.3+20) Problem 4P: Calculate: (a) 3.822.754125+5.2+1.853.5 (b) 2.110615.21053610113 Problem 5P: Calculate: (a)sin0.2cos/6+tan72 (b) (tan64cos15)+sin237cos220 Problem 6P: Define the varialbe z as z = 4.5; than evaluate: (a) 0.44+3.1z2162.3z80.7 (b) z323/z2+17.53 Problem 7P: Define the variable t as t= 3.2; then evalute: (a) 12e2t3.81t3 (b) 6t2+6t2t21 Problem 8P: Define the variable xandy as x = 6.5 and y = 3.8; then evaluate: (a) x2+y22/3+xyyx (b) x+yxy2+2x2xy2 Problem 9P: Define the variables a, b, c, and d as: c= 4.6, d = 1.7, a = cd2, and b=c+acd; then evaluate: (a)... Problem 10P: Two trigonometric identities are given by: (a) cos2xsin2x=12sin2x (b) tanxsinx2tanx=1cosx2 For each... Problem 11P: Two trigonometric identities are given by: (a) sinx+cosx2=1+2sinxcosx (b)... Problem 12P: Define two variables: alpha =8, and beta = 6. Using these variables, show that the following... Problem 13P: Given: x2cosxdx=2xcosx+x22sinx . Use MATLAB to calculaet the following difinite integral:... Problem 14P: A rectangular box has the dimensions shown. (a) Determine the angle BAC to the nearest degree. (b)... Problem 15P: The are length of a segment of a parabola ABC is given by: LABC=a2+4h2+2ha+2ha2+1 Determine LABC if... Problem 16P: The three shown circles, with radius 15 in., 10.5 in., and 4.5 in., are tangent to each other. (a)... Problem 17P: A frustum of cone is filled with ice cream such that the portion above the cone is a hemisphere.... Problem 18P: 18. In the triangle shown a =27 in., b 43 in., c=57 in. Define a, b, and c as variables, and then:... Problem 19P: For the triangle shown, a = 72°, ß=43°, and its perimeter is p = 114 mm. Define a, ß, and p, as... Problem 20P: The distance d from a point P (xp,yp,zp) to the line that passes through the two points A (xA,yA,zA)... Problem 21P: The perimeter of an ellipse can be approximated by: P=(a+b)3(3a+b)(a+3b)a+b Calculate the perimeter... Problem 22P: A total of 4217 eggs have w be packed in boxes that can hold 36 eggs each. By typing one line... Problem 23P: A total of 777 people have to be transported using buses that have 46 seats and vans that have 12... Problem 24P: Change the display to format long g. Assign the number 7E8/13 to a variable, and then use the... Problem 25P: The voltage difference Vabbetween points a and b in the Wheatstone bride circuit is given by:... Problem 26P: The current in a series RCL circuit is given by: I=VR2(L1C)2 Where =2 f. Calculate I for the... Problem 27P: The monthly payment M of a mortgage P for n years with a fixed annual interest rate r can be... Problem 28P: The number of permutations nProf taking r Objects out of n objects without repetition is given by:... Problem 29P: The number of combinations Cn,r of taking r objects out of n objects is given by: aye In the... Problem 30P: The equivalent resistance of two resistors R1and R2connected in parallel is given by Req=R1R2R1+R2 .... Problem 31P: The output voltage Voutin the circuit shown is given by (Millman’s theorem):... Problem 32P: Radioactive decay of carbon-14 is used for estimating the age of organic material. The decay is... Problem 33P: The greatest common divisor is the largest positive integer that divides the numbers without a... Problem 34P: The amount of energy E (in joules) that is released by an earthquake is given by: E=1.741019101.44M... Problem 35P: According to the Doppler effect of light, the perceived wavelength ?p, of a light source with a... Problem 36P: Newton’s law of cooling gives the temperature T(t) of an object at time tin terms of T0, its... Problem 37P: The velocity v and the falling distance d as a function of time of a skydiver that experience the... Problem 38P: Use the Help Window to find a display format that displays the output as a ratio of integers. For... Problem 39P: Gosper’s approximation for factorials is given by: n!=2n+13nnen Use the formula for calculating 19!.... Problem 40P: According to Newton’s law of universal gravitation, the attraction force between two bodies is given... Problem 1P
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What is the mean score on “Athletic competence” for Caucasians?
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Exercise 50 Race/Ethnicity and Self-Esteem: One-Way ANOVA with Post Hoc Tests
Table 1
Means and Standard Deviations for Self-Esteem
Race/ethnicity
Caucasian
African American
Hispanic/Latino/Latina
F-Value
Social acceptance
3.15 (.76)
3.23 (.67)
2.98 (.71)
3.13 (.74)
3.44 (.55)
3.36 (.62)
3.38 (.51)
3.25 (.60)
3.20 (.66)
Adolescents
1.17
1.21
2.81
Mothers
Fathers
Physical appearance
2.82 (.85)
2.49 (.84)
2.79 (.51)ª
3.06 (.77)
2.82 (.84),
3.14 (.82)b
2.92 (.75)
2.70 (.70)
3.13 (.65)
Adolescents
0.81
Mothers
1.56
Fathers
3.16*
Athletic competence
Adolescents
Mothers
2.79 (.87)
2.04 (.79)*
2.79 (.58)
2.96 (.80)
2.49 (.78)
2.90 (.68)
3.18 (.66)
2.07 (.64)*
2.88 (.75)
1.96
3.95*
Fathers
0.27
Global self-worth
3.34 (.60)
3.17 (.76)
2.96 (.62)
3.35 (.66)
3.32 (.67)
3.33 (.72)
3.25 (.65)
3.24 (.71)
3.38 (.53)
Adolescents
0.23
0.39
4.59*
Mothers
Fathers
Note. Standard deviations are in parentheses. Different superscripts signify significant mean differences.
*p<.05.
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Exercise 50 Race/Ethnicity and Self-Esteem
One-Way ANOVA with Post Hoc Tests
Statistical Guide
To review the one-way ANOVA, see the statistical guide for Exercise 49. Note that a one-
way ANOVA indicates only if a set of differences is statistically significant. For instance, if an
ANOVA indicates that the set of mean differences among Groups A, B, and C is significant, it does
not indicate which of the following pairs are significant: (1) A versus B, (2) A versus C, and (3) B
versus C. In other words, the significant ANOVA indicates only that one or more of these pairs is
significant. To pinpoint which pairs(s) are significant, post học tests (also known as multiple-
comparisons tests) are used. There are several post hoc tests, one of which, known as Duncan's test,
is reported below. Note that post hoc tests are run only to compare pairs of means in a set that has
first been identified as statistically significant with an ANOVA.
Background Notes
A one-way ANOVA was run for each row in the table in the excerpt. For each, a value of F
is shown. Duncan's test was also run for each row. In a given row, entries with superscript (*) have
significantly different means from entries with superscript (°). Note that as a general rule if there is
no indication that a difference (or a set of differences) is significant, the reader should assume that it
is not significant.
Excerpt from the Research Article'
As part of a larger study of family functioning, a total of 104 families (adolescents, mothers,
and fathers) participated in this study. All participating families in the current study included an ado-
lescent, the mother, and the father. Adolescents were required to have at least monthly face-to-face
contact with their biological mother and their biological father for inclusion....
Participants completed the age-appropriate version of the Harter Self-Perception Profiles,
which conceptualize self-esteem as perceived competence in multiple domains. The social accep-
tance domain assesses participants' perceptions of feeling accepted by peers, feeling popular, and
feeling comfortable around others. The physical appearance domain assesses participants' self-
perceptions of their attractiveness and their satisfaction with their appearance. The athletic compe-
tence domain assesses participants' feelings of their competence in sports and other physical activi-
ties. The global self-worth subscale assesses participants' feelings about themselves overall (i.e., not
tied to any specific domain...).
In order to test for the racial/ethnic group differences..., a series of ANOVAS was completed
for each informant (adolescents, mothers, and fathers). Significant ANOVAS were followed up by
post hoc Duncan's tests.
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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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