Solutions Manual
Devore's Probability And Statistics For Engineering
And The Sciences,
By Jay Devore
9th Edition
, Contents
Chapter 1 Overview And Descriptive Statistics 1
Chapter 2 Probability 48
Chapter 3 Discrete Random Variables And Probability 90
Distributions
Chapter 4 Continuous Random Variables And Probability 126
Distributions
Chapter 5 Joint Probability Distributions And Random Samples 177
Chapter 6 Point Estimation 206
Chapter 7 Statistical Intervals Based On A Single Sample 217
Chapter 8 Tests Of Hypotheses Based On A Single Sample 234
Chapter 9 Inferences Based On Two Samples 255
Chapter 10 The Analysis Of Variance 285
Chapter 11 Multifactor Analysis Of Variance 299
Chapter 12 Simple Linear Regression And Correlation 330
Chapter 13 Nonlinear And Multiple Regression 368
Chapter 14 Goodness-Of-Fit Tests And Categorical Data Analysis 406
Chapter 15 Distribution-Free Procedures 424
Chapter 16 Quality Control Methods 434
, Chapter 1
Section 1.1
1.
a. Los Angeles Times, Oberlin Tribune, Gainesville Sun, Washington Post
b. Duke Energy, Clorox, Seagate, Neiman Marcus
c. Vince Correa, Catherine Miller, Michael Cutler, Ken Lee
d. 2.97, 3.56, 2.20, 2.97
2.
a. 29.1 Yd, 28.3 Yd, 24.7 Yd, 31.0 Yd
b. 432 Pp, 196 Pp, 184 Pp, 321 Pp
c. 2.1, 4.0, 3.2, 6.3
d. 0.07 G, 1.58 G, 7.1 G, 27.2 G
3.
a. How Likely Is It That More Than Half Of The Sampled Computers Will Need Or Have
Needed Warranty Service? What Is The Expected Number Among The 100 That Need
Warranty Service? How Likely Is It That The Number Needing Warranty Service Will
Exceed The Expected Number By More Than 10?
b. Suppose That 15 Of The 100 Sampled Needed Warranty Service. How Confident Can
We Be That The Proportion Of All Such Computers Needing Warranty Service Is
Between .08 And
.22? Does The Sample Provide Compelling Evidence For Concluding That More Than
10% Of All Such Computers Need Warranty Service?
1
, Chapter 1: Overview and Descriptive Statistics
4.
a. Concrete Populations: All Living U.S. Citizens, All Mutual Funds Marketed In The
U.S., All Books Published In 1980
Hypothetical Populations: All Grade Point Averages For University Of California
Undergraduates During The Next Academic Year, Page Lengths For All Books
Published During The Next Calendar Year, Batting Averages For All Major League
Players During The Next Baseball Season
b. (Concrete) Probability: In A Sample Of 5 Mutual Funds, What Is The Chance That All 5
Have Rates Of Return Which Exceeded 10% Last Year?
Statistics: If Previous Year Rates-Of-Return For 5 Mutual Funds Were 9.6, 14.5, 8.3, 9.9
And 10.2, Can We Conclude That The Average Rate For All Funds Was Below 10%?
(Hypothetical) Probability: In A Sample Of 10 Books To Be Published Next Year, How
Likely Is It That The Average Number Of Pages For The 10 Is Between 200 And 250?
Statistics: If The Sample Average Number Of Pages For 10 Books Is 227, Can We Be
Highly Confident That The Average For All Books Is Between 200 And 245?
5.
a. No. All Students Taking A Large Statistics Course Who Participate In An Si Program
Of This Sort.
b. The Advantage To Randomly Allocating Students To The Two Groups Is That The
Two Groups Should Then Be Fairly Comparable Before The Study. If The Two Groups
Perform Differently In The Class, We Might Attribute This To The Treatments (Si And
Control). If It Were Left To Students To Choose, Stronger Or More Dedicated Students
Might Gravitate Toward Si, Confounding The Results.
c. If All Students Were Put In The Treatment Group, There Would Be No Firm Basis For
Assessing The Effectiveness Of Si (Nothing To Which The Si Scores Could Reasonably
Be Compared).
6. One Could Take A Simple Random Sample Of Students From All Students In The
California State University System And Ask Each Student In The Sample To Report The
Distance Form Their Hometown To Campus. Alternatively, The Sample Could Be
Generated By Taking A Stratified Random Sample By Taking A Simple Random Sample
From Each Of The 23 Campuses And Again Asking Each Student In The Sample To Report
The Distance From Their Hometown To Campus. Certain Problems Might Arise With Self
Reporting Of Distances, Such As Recording Error Or Poor Recall. This Study Is
Enumerative Because There Exists A Finite, Identifiable Population Of Objects From Which
To Sample.
7. One Could Generate A Simple Random Sample Of All Single-Family Homes In The City,
Or A Stratified Random Sample By Taking A Simple Random Sample From Each Of The
10 District Neighborhoods. From Each Of The Selected Homes, Values Of All Desired
Variables Would Be Determined. This Would Be An Enumerative Study Because There
Exists A Finite, Identifiable Population Of Objects From Which To Sample.
2
Devore's Probability And Statistics For Engineering
And The Sciences,
By Jay Devore
9th Edition
, Contents
Chapter 1 Overview And Descriptive Statistics 1
Chapter 2 Probability 48
Chapter 3 Discrete Random Variables And Probability 90
Distributions
Chapter 4 Continuous Random Variables And Probability 126
Distributions
Chapter 5 Joint Probability Distributions And Random Samples 177
Chapter 6 Point Estimation 206
Chapter 7 Statistical Intervals Based On A Single Sample 217
Chapter 8 Tests Of Hypotheses Based On A Single Sample 234
Chapter 9 Inferences Based On Two Samples 255
Chapter 10 The Analysis Of Variance 285
Chapter 11 Multifactor Analysis Of Variance 299
Chapter 12 Simple Linear Regression And Correlation 330
Chapter 13 Nonlinear And Multiple Regression 368
Chapter 14 Goodness-Of-Fit Tests And Categorical Data Analysis 406
Chapter 15 Distribution-Free Procedures 424
Chapter 16 Quality Control Methods 434
, Chapter 1
Section 1.1
1.
a. Los Angeles Times, Oberlin Tribune, Gainesville Sun, Washington Post
b. Duke Energy, Clorox, Seagate, Neiman Marcus
c. Vince Correa, Catherine Miller, Michael Cutler, Ken Lee
d. 2.97, 3.56, 2.20, 2.97
2.
a. 29.1 Yd, 28.3 Yd, 24.7 Yd, 31.0 Yd
b. 432 Pp, 196 Pp, 184 Pp, 321 Pp
c. 2.1, 4.0, 3.2, 6.3
d. 0.07 G, 1.58 G, 7.1 G, 27.2 G
3.
a. How Likely Is It That More Than Half Of The Sampled Computers Will Need Or Have
Needed Warranty Service? What Is The Expected Number Among The 100 That Need
Warranty Service? How Likely Is It That The Number Needing Warranty Service Will
Exceed The Expected Number By More Than 10?
b. Suppose That 15 Of The 100 Sampled Needed Warranty Service. How Confident Can
We Be That The Proportion Of All Such Computers Needing Warranty Service Is
Between .08 And
.22? Does The Sample Provide Compelling Evidence For Concluding That More Than
10% Of All Such Computers Need Warranty Service?
1
, Chapter 1: Overview and Descriptive Statistics
4.
a. Concrete Populations: All Living U.S. Citizens, All Mutual Funds Marketed In The
U.S., All Books Published In 1980
Hypothetical Populations: All Grade Point Averages For University Of California
Undergraduates During The Next Academic Year, Page Lengths For All Books
Published During The Next Calendar Year, Batting Averages For All Major League
Players During The Next Baseball Season
b. (Concrete) Probability: In A Sample Of 5 Mutual Funds, What Is The Chance That All 5
Have Rates Of Return Which Exceeded 10% Last Year?
Statistics: If Previous Year Rates-Of-Return For 5 Mutual Funds Were 9.6, 14.5, 8.3, 9.9
And 10.2, Can We Conclude That The Average Rate For All Funds Was Below 10%?
(Hypothetical) Probability: In A Sample Of 10 Books To Be Published Next Year, How
Likely Is It That The Average Number Of Pages For The 10 Is Between 200 And 250?
Statistics: If The Sample Average Number Of Pages For 10 Books Is 227, Can We Be
Highly Confident That The Average For All Books Is Between 200 And 245?
5.
a. No. All Students Taking A Large Statistics Course Who Participate In An Si Program
Of This Sort.
b. The Advantage To Randomly Allocating Students To The Two Groups Is That The
Two Groups Should Then Be Fairly Comparable Before The Study. If The Two Groups
Perform Differently In The Class, We Might Attribute This To The Treatments (Si And
Control). If It Were Left To Students To Choose, Stronger Or More Dedicated Students
Might Gravitate Toward Si, Confounding The Results.
c. If All Students Were Put In The Treatment Group, There Would Be No Firm Basis For
Assessing The Effectiveness Of Si (Nothing To Which The Si Scores Could Reasonably
Be Compared).
6. One Could Take A Simple Random Sample Of Students From All Students In The
California State University System And Ask Each Student In The Sample To Report The
Distance Form Their Hometown To Campus. Alternatively, The Sample Could Be
Generated By Taking A Stratified Random Sample By Taking A Simple Random Sample
From Each Of The 23 Campuses And Again Asking Each Student In The Sample To Report
The Distance From Their Hometown To Campus. Certain Problems Might Arise With Self
Reporting Of Distances, Such As Recording Error Or Poor Recall. This Study Is
Enumerative Because There Exists A Finite, Identifiable Population Of Objects From Which
To Sample.
7. One Could Generate A Simple Random Sample Of All Single-Family Homes In The City,
Or A Stratified Random Sample By Taking A Simple Random Sample From Each Of The
10 District Neighborhoods. From Each Of The Selected Homes, Values Of All Desired
Variables Would Be Determined. This Would Be An Enumerative Study Because There
Exists A Finite, Identifiable Population Of Objects From Which To Sample.
2
