Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Textbook Question
Chapter 1, Problem 22P
Repeat Problem P1-21 for the data given in Fig. P1.22
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Question No. 3:
The average time that Italy commute to work is 23.15 minutes (Best 4 Tourist Places, June 15, 2020). The average commute times in minutes for 18 cities are given in Table 3.1.
Table 3.1
City
Time (minutes)
Rome
24.9
Milan
26.8
Naples
26.2
Turin
28.1
Palermo
31.7
Genoa
25.8
Bologna
23.3
Florence
32.1
Bari
28.5
Catania
24.4
Verona
29.3
Venice
24.8
Messina
38.1
Padua
28.3
Trieste
28.4
Taranto
24.6
Prato
20.1
Modena
23.4
a) What is the variance and standard deviation of commute times for these 18 cities?
b) Find the z – score value of commute time for these 18 cities.
c) Find 28th and 77th Percentile of commute times for these 18 cities.
EXAMPLE 3.20
Suppose a study of speeding violations and drivers who use cell phones produced the following fictional
data:
Uses cell phone while
driving
Does not use cell phone
while driving
Total
Table 3.2
Speeding violation in the
last year
25
45
70
No speeding violation in
the last year
280
405
685
Total
Problem
a. Find P(Driver is a cell phone user).
b. Find P(Driver had no violation in the last year).
c. Find P(Driver had no violation in the last year was a cell phone user).
d. Find P(Driver is a cell phone user U driver had no violation in the last year).
e. Find P(Driver is a cell phone user driver had a violation in the last year).
1. Find P(Driver had no violation last year driver was not a cell phone user)
305
450
***
755
The total number of people in the sample is 755. The row totals are 305 and 450. The column totals are 70
and 685. Notice that 305 + 450 = 755 and 70 +685 755.
Calculate the following probabilities using the table.
Problem 18.
20. A recent study indicates that simply giving college
students a pedometer can result in increased walk-
ing (Jackson & Howton, 2008). Students were given
pedometers for a 12-week period, and asked to record
the average number of steps per day during weeks 1,
6, and 12. The following data are similar to the results
obtained in the study.
Number of steps (X1000)
Week
Participant
1
6.
12
P
8.
10
24
15
5
15
G = 72
EX = 400
3
Tre
1
6.
F
4.
9.
T = 18
T = 24
T = 30
SS = 28 SS = 32 SS =
40
a. Use a repeated-measures ANOVA with =
.05
to determine whether the mean number of steps
changes significantly from one week to another.
b. Compute m² to measure the size of the treatment
effect.
c. Write a sentence demonstrating how a research
report would present the results of the hypothesis
test and the measure of effect size.
653
552 13
644
ABCDEE
Chapter 1 Solutions
Introductory Mathematics for Engineering Applications
Ch. 1 - A constant force F=2N is applied to a spring and...Ch. 1 - The spring force F and displacement x for a...Ch. 1 - The spring force F and displacement x for a...Ch. 1 - In a bolted connection shown in Fig. P1.4. the...Ch. 1 - Repeat problem P1.14 for the data given in Fig...Ch. 1 - The velocity v (t ) of a ball thrown upward...Ch. 1 - The velocity v (r ) of a ball thrown upward...Ch. 1 - A model rocket is fired in the vertical plane. The...Ch. 1 - A model rocket is fired in the vertical plane. The...Ch. 1 - The velocity of a vehicle is measured at two...
Ch. 1 - The velocity of a vehicle is measured at two...Ch. 1 - The velocity v (t ) of a vehicle during braking is...Ch. 1 - A linear trajectory is planned for a robot to pick...Ch. 1 - The acceleration of the linear trajectory of...Ch. 1 - The temperature distribution in a well-insulated...Ch. 1 - The temperature distribution in a well-insulated...Ch. 1 - The voltage-current relatonship for the cicuit...Ch. 1 - A voltage source Vs is used to apply two different...Ch. 1 - Repeat problem P1-18 for the data shown in Fig,...Ch. 1 - Repeat problem P1-18 for the data shown in Fig...Ch. 1 - A linear model of a diode is shown in Fig. P1.21....Ch. 1 - Repeat Problem P1-21 for the data given in Fig....Ch. 1 - The output voltage, v0, of the Op-Amp circuit...Ch. 1 - The output voltage, v0, of the Op-Amp circuit...Ch. 1 - A DC motor is driving an inertial load JL shown in...Ch. 1 - Repeat problem P1-25 for the data shown in Fig....Ch. 1 - In the active region, the output voltage v0 of the...Ch. 1 - Repeat problem P1-27 for the data given in Fig,...Ch. 1 - An actuator used in a prosthetic arm can produce...Ch. 1 - The following two measurements of maximum heart...Ch. 1 - The electrical activity of muscles can he...Ch. 1 - A civil engineer needs to establish the elevation...Ch. 1 - A thermocouple is a temperature measurement...Ch. 1 - The voltage across a thermocouple is calibrated...Ch. 1 - An iron-constantan thermocouple is calibrated by...Ch. 1 - Prob. 36PCh. 1 - Repeat problem P1-36 for the data shown in Fig....Ch. 1 - To determine the concentration of a purified...Ch. 1 - Repeat problem P1-38 lithe absorption-...Ch. 1 - A chemistry student is performing in experiment to...Ch. 1 - To obtain the linear relationship between the...Ch. 1 - A thermostat control with dial marking from 0 to...Ch. 1 - In a pressure-fed journal bearing, forced cooling...
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