Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 12, Problem 86SE
a.
To determine
Test whether there is any significant difference in the average amount of fat using the two different techniques of measurement.
b.
To determine
Find the regression model for predicting the variable HW measurement
Find the proportion of observed variation in HW that is explained by BOD POD using the linear regression model.
Test whether there is enough evidence to conclude that the predictor variable BOD POD is useful for predicting the value of the response variable HW.
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A statistical program is recommended.
An article gave the data, shown in the table below, on dimensions of 27 representative food products.
Product
Material
Height
MaximumWidth
MinimumWidth
Elongation
Volume
1
glass
7.7
2.50
1.80
1.50
120
2
glass
6.2
2.90
2.70
1.07
140
3
glass
8.5
2.15
2.00
1.98
175
4
glass
10.4
2.90
2.60
1.79
290
5
plastic
8.0
3.20
3.15
1.25
334
6
glass
8.7
2.00
1.80
2.17
87
7
glass
10.2
1.60
1.50
3.19
118
8
plastic
10.5
4.80
3.80
1.09
520
9
plastic
3.4
5.90
5.00
0.29
333
10
plastic
6.9
5.80
4.75
0.59
568
11
tin
10.9
2.90
2.80
1.88
337
12
plastic
9.7
2.45
2.10
1.98
173
13
glass
10.1
2.60
2.20
1.94
245
14
glass
13.0
2.60
2.60
2.50
238
15
glass
13.0
2.70
2.60
2.41
359
16
glass
11.0
3.10
2.90
1.77
305
17
cardboard
8.7
5.10
5.10
0.85
636
18
cardboard
17.1
10.20
10.20
0.84
1255
19
glass
16.5
3.50
3.50
2.36
649
20
glass
16.5
2.70
1.20
3.06
304
21
glass
9.7
3.00
1.70
1.62
310
22
glass
17.8
2.70
1.75
3.30
309
23
glass
14.0
2.50…
A college student wants to determine
whether the stress level of a student
is associated to his/her body mass
index (BMI). She randomly selected
80 students and determine their
stress level and BMI.
The data obtained is summarized in
the table below.
BMI
Stress Level
Total
Normal
Not Normal
Low
20
31
51
Hight
15
14
29
Total
35
45
80
Font
Everest auto industry produces bearing for Mahindra Motor Corporation. The precision of radrus
of bearing is very important for its successful functioning. To check the variability in the bearing
radius, the company randomly selected ten bearings and measured the radius, the result of which
is as shown in the table below.
Nominal
radius (cm)
#no
#no
Nominal
radius (cm)
2.45
1.
2.70
6.
71
8.
2.
2.65
2.73
3.
2.75
2.64
4.
2.55
9.
2.66
2.76
10
2.83
a. Calculate the sample standard deviation for the above data.
b. Construct a box plot and check whether there is any outlier data m the data distribution.
c. Based on the comparison between the mean and the quartile, identify the shape of the data
distribution.
d. Calculate the 55 percentile and interpret the result.
e. What is the range of the data distribution? Explain sts meaning.
d States)
Chapter 12 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
Ch. 12.1 - The efficiency ratio for a steel specimen immersed...Ch. 12.1 - The article Exhaust Emissions from Four-Stroke...Ch. 12.1 - Bivariate data often arises from the use of two...Ch. 12.1 - The accompanying data on y = ammonium...Ch. 12.1 - The article Objective Measurement of the...Ch. 12.1 - One factor in the development of tennis elbow, a...Ch. 12.1 - The article Some Field Experience in the Use of an...Ch. 12.1 - Referring to Exercise 7, suppose that the standard...Ch. 12.1 - The flow rate y (m3/min) in a device used for...Ch. 12.1 - Suppose the expected cost of a production run is...
Ch. 12.1 - Suppose that in a certain chemical process the...Ch. 12.2 - Refer back to the data in Exercise 4, in which y =...Ch. 12.2 - The accompanying data on y = ammonium...Ch. 12.2 - Refer to the lank temperature-efficiency ratio...Ch. 12.2 - Values of modulus of elasticity (MOE, the ratio of...Ch. 12.2 - The article Characterization of Highway Runoff in...Ch. 12.2 - For the past decade, rubber powder has been used...Ch. 12.2 - For the past decade, rubber powder has been used...Ch. 12.2 - The following data is representative of that...Ch. 12.2 - The bond behavior of reinforcing bars is an...Ch. 12.2 - Wrinkle recovery angle and tensile strength are...Ch. 12.2 - Calcium phosphate cement is gaining increasing...Ch. 12.2 - a. Obtain SSE for the data in Exercise 19 from the...Ch. 12.2 - The invasive diatom species Didymosphenia geminata...Ch. 12.2 - Prob. 25ECh. 12.2 - Show that the point of averages (x,y) lies on the...Ch. 12.2 - Prob. 27ECh. 12.2 - a. Consider the data in Exercise 20. Suppose that...Ch. 12.2 - Consider the following three data sets, in which...Ch. 12.3 - Reconsider the situation described in Exercise 7,...Ch. 12.3 - During oil drilling operations, components of the...Ch. 12.3 - Exercise 16 of Section 12.2 gave data on x =...Ch. 12.3 - During oil drilling operations, components of the...Ch. 12.3 - For the past decade, rubber powder has been used...Ch. 12.3 - Refer back to the data in Exercise 4, in which y =...Ch. 12.3 - Misi (airborne droplets or aerosols) is generated...Ch. 12.3 - Prob. 37ECh. 12.3 - Refer to the data on x = liberation rate and y =...Ch. 12.3 - Carry out the model utility test using the ANOVA...Ch. 12.3 - Prob. 40ECh. 12.3 - Prob. 41ECh. 12.3 - Verify that if each xi is multiplied by a positive...Ch. 12.3 - Prob. 43ECh. 12.4 - Fitting the simple linear regression model to the...Ch. 12.4 - Reconsider the filtration ratemoisture content...Ch. 12.4 - Astringency is the quality in a wine that makes...Ch. 12.4 - The simple linear regression model provides a very...Ch. 12.4 - Prob. 48ECh. 12.4 - You are told that a 95% CI for expected lead...Ch. 12.4 - Prob. 50ECh. 12.4 - Refer to Example 12.12 in which x = test track...Ch. 12.4 - Plasma etching is essential to the fine-line...Ch. 12.4 - Consider the following four intervals based on the...Ch. 12.4 - The height of a patient is useful for a variety of...Ch. 12.4 - Prob. 55ECh. 12.4 - The article Bone Density and Insertion Torque as...Ch. 12.5 - The article Behavioural Effects of Mobile...Ch. 12.5 - The Turbine Oil Oxidation Test (TOST) and the...Ch. 12.5 - Toughness and fibrousness of asparagus are major...Ch. 12.5 - Head movement evaluations are important because...Ch. 12.5 - Prob. 61ECh. 12.5 - Prob. 62ECh. 12.5 - Prob. 63ECh. 12.5 - The accompanying data on x = UV transparency index...Ch. 12.5 - Torsion during hip external rotation and extension...Ch. 12.5 - Prob. 66ECh. 12.5 - Prob. 67ECh. 12 - The appraisal of a warehouse can appear...Ch. 12 - Prob. 69SECh. 12 - Forensic scientists are often interested in making...Ch. 12 - Phenolic compounds are found in the effluents of...Ch. 12 - The SAS output at the bottom of this page is based...Ch. 12 - The presence of hard alloy carbides in high...Ch. 12 - The accompanying data was read from a scatterplot...Ch. 12 - An investigation was carried out to study the...Ch. 12 - Prob. 76SECh. 12 - Open water oil spills can wreak terrible...Ch. 12 - In Section 12.4, we presented a formula for...Ch. 12 - Show that SSE=Syy1Sxy, which gives an alternative...Ch. 12 - Suppose that x and y are positive variables and...Ch. 12 - Let sx and sy denote the sample standard...Ch. 12 - Verify that the t statistic for testing H0: 1 = 0...Ch. 12 - Use the formula for computing SSE to verify that...Ch. 12 - In biofiltration of wastewater, air discharged...Ch. 12 - Normal hatchery processes in aquaculture...Ch. 12 - Prob. 86SECh. 12 - Prob. 87SE
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