Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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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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MinimumWidth
Elongation
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1
glass
7.7
2.50
1.80
1.50
120
2
glass
6.2
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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
Chapter 12 Solutions
Probability and Statistics for Engineering and the Sciences
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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- 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 1.50 121 2 glass 6.2 2.90 2.70 1.07 133 3 glass 8.5 2.15 2.00 1.98 180 4 glass 10.4 2.90 2.60 1.79 281 5 plastic 8.0 3.20 3.15 1.25 325 6 glass 8.7 2.00 1.80 2.17 86 7 glass 10.2 1.60 1.50 3.19 120 8 plastic 10.5 4.80 3.80 1.09 520 9 plastic 3.4 5.90 5.00 0.29 335 10 plastic 6.9 5.80 4.75 0.59 575 11 tin 10.9 2.90 2.80 1.88 343 12 plastic 9.7 2.45 2.10 1.98 174 13 glass 10.1 2.60 2.20 1.94 237 14 glass 13.0 2.60 2.60 2.50 242 15 glass 13.0 2.70 2.60 2.41 360 16 glass 11.0 3.10 2.90 1.77 313 17 cardboard 8.7 5.10 5.10 0.85 633 18 cardboard 17.1 10.20 10.20 0.84 1245 19 glass 16.5 3.50 3.50 2.36 646 20 glass 16.5 2.70 1.20 3.06 300 21 glass 9.7 3.00 1.70 1.62 319 22 glass 17.8 2.70 1.75 3.30 303 23 glass 14.0 2.50 1.70 2.80 250 24 glass 13.6 2.40…arrow_forwardAn 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 1.50 121 2 glass 6.2 2.90 2.70 1.07 139 3 glass 8.5 2.15 2.00 1.98 178 4 glass 10.4 2.90 2.60 1.79 288 5 plastic 8.0 3.20 3.15 1.25 328 6 glass 8.7 2.00 1.80 2.17 94 7 glass 10.2 1.60 1.50 3.19 115 8 plastic 10.5 4.80 3.80 1.09 517 9 plastic 3.4 5.90 5.00 0.29 332 10 plastic 6.9 5.80 4.75 0.59 567 11 tin 10.9 2.90 2.80 1.88 340 12 plastic 9.7 2.45 2.10 1.98 177 13 glass 10.1 2.60 2.20 1.94 236 14 glass 13.0 2.60 2.60 2.50 237 15 glass 13.0 2.70 2.60 2.41 358 16 glass 11.0 3.10 2.90 1.77 314 17 cardboard 8.7 5.10 5.10 0.85 635 18 cardboard 17.1 10.20 10.20 0.84 1250 19 glass 16.5 3.50 3.50 2.36 651 20 glass 16.5 2.70 1.20 3.06 300 21 glass 9.7 3.00 1.70 1.62 312 22 glass 17.8 2.70 1.75 3.30 303 23 glass 14.0 2.50 1.70 2.80 247 24 glass 13.6 2.40…arrow_forwardConstruct a stem-and-leaf display of the data. What appears to be a representative strength value? Do the observations appear to be highly concentrated about the representative value or rather spread out? b. Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way? c. Do there appear to be any outlying strength values? d. What proportion of strength observations in this sample exceed 10 MPa? The strength data for beams is attachedarrow_forward
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