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These problems all draw on data that come from the text ( or a previous edition).  If you are ready for the test you should recognize what to do.  The advantage of this format is that you cannot see what to do by looking at previous pages of the text.  See if you are ready.  But if you are not, use the hints and study the material again.


1)  The data below are stress scores for random samples of people who work in three occupations.  Use the data to test for a difference in the mean stress level among the occupations. 
a = .05.

Real Estate Agent

Architect

Stockbroker

81

43

65

48

63

48

68

60

57

69

52

91

54

54

70

62

77

67

76

68

83

56

57

75

61

61

53

65

80

71

64

50

54

69

37

72

83

73

65

85

84

58

75

58

58

Hint for 1 

2)  a) The data below give P/E ratios for random samples of corporations in three industries.  Use the data to test for a difference in the mean ratios.   alpha = .05.

hint for 2a 

 

Company

Industry

P/E

Citicorp

1

15

NationsBank

1

14

Wells Fargo

1

25

First Union

1

13

KeyCorp

1

14

Chase Manhattan

1

12

Fifth Third Bancorp

1

23

Bank of New York

1

17

First Chicago

1

3

Mellon Bank

1

16

Fleet Financial Group

1

15

First Bank System

1

16

American Express

2

19

Travelers

2

15

Merrill Lynch

2

12

MBNA

2

24

Cincinnati Financial

2

19

Franklin Resources

2

22

Fannie Mae

2

17

American International Group

3

21

Allstate

3

14

Marsh & McLennan

3

20

American General

3

16

Cigna

3

12

Lincoln National

3

13

AFLAC

3

21

Equitable

3

11

Chubb

3

20

General Re

3

15

 

 

2b)  Construct all pairwise differences in the industry means at the 95 % level of confidence, using the simple LSD method.   hint

 

2c)  Construct all pairwise differences in the industry means at the 94 % level of confidence, using the Bonferroni method.   hint

 

 

3)  Five automobiles were used to compare gasoline mileage for three gas types.  Miles per gallon for the three gasoline types are given for each of the five automobiles.  Test the hypothesis appropriate to the data.  a = .01.    hint

 

 

 

 

Gasoline

 

 

 

I

II

III

 

Artís car

18

21

20

 

Bobís car

24

26

27

autos

Carlís car

30

29

34

 

Daveís car

22

25

24

 

Edís car

20

23

24

 

 


4)  Use the data below to conduct a two factor AOV for the effect of position and experience

on salary.  Allow for interaction, a = .05.   hint

 

Observation

Salary ($)

Position

Experience

1

28,938

Inside

Medium

2

27,694

Inside

Medium

3

45,515

Outside

Low

4

27,031

Inside

Medium

5

37,283

Outside

Low

6

32,718

Inside

Low

7

54,081

Outside

High

8

23,621

Inside

Low

9

47,835

Outside

High

10

29,768

Inside

Medium

11

27,282

Inside

Medium

12

30,632

Inside

Low

13

38,856

Outside

Low

14

26,827

Inside

Medium

15

26,948

Inside

Low

16

31,588

Inside

Medium

17

43,858

Outside

Low

18

38,478

Outside

Low

19

58,846

Outside

Medium

20

34,253

Inside

High

21

28,464

Inside

Low

22

58,176

Outside

Medium

23

35,949

Inside

High

24

27,833

Inside

Low

25

47,914

Outside

High

26

58,040

Outside

Medium

 

 

5)       a)  Use the table below to test all possible hypotheses.

b)  How does your answer change if the rows identify blocks?  hint

 

ANOVA

 

 

 

 

 

 

Source of Variation

SS

df

MS

F

P-value

F crit

Rows

2795.6

9

310.6222222

1.05510266

0.42506065

2.25013252

Columns

19805.2

3

6601.733333

22.4243659

1.7029E-07

2.96034841

Error

7948.8

27

294.4

 

 

 

 

 

 

 

 

 

 

Total

30549.6

39

 

 

 

 

 

 

6) a)  Use the data below  to test the hypothesis that no load mutual funds have the same return that load funds do.

b) Construct a confidence interval for the difference in the mean returns.  hint

 

Mutual Funds - Load

Return

 

Mutual Funds - No Load

Return

American National Growth

15.51

 

Amana Income Fund

13.24

Arch Small Cap Equity

14.57

 

Berger One Hundred

12.13

Bartlett Cap Basic

17.73

 

Columbia International Stock

12.17

Calvert World International

10.31

 

Dodge & Cox Balanced

16.06

Colonial Fund A

16.23

 

Evergreen Fund

17.61

Common Sense Growth

16.04

 

Fidelity Fund

20.61

Corefund Core Equity

18.77

 

Forthis Advtg Cap App

13.38

Davis Convert Seurities

18.21

 

Founders Blue Chip Fund

17.15

Deleware Small Cap

17.27

 

Goldman Core Fixed Income

10.38

Dreyfus Premium Value

11.95

 

Heartland Value

18.15

Federated Stocks & Bonds

13.81

 

Janus Fund

15.82

First Invest FD for Income

12.44

 

Manstay Cap Appriciation

17.29

 

 

7)  The data below give earnings in 97 matched to those in 96 for the firms listed. Use the data  to test the hypothesis that mean earnings in 96 and 97 were the same.  hint

b) Construct a confidence interval for the difference in the mean earnings.

 

Company

Earnings 96

Earnings 97

Atlantic Richfield

1.16

1.17

Balchem Corp

0.16

0.13

Black & Decker Corp

0.97

1.02

Dial Corp

0.18

0.23

DSC Communications

0.15

-0.32

Eastman Chemical

0.77

0.36

Excel Communications

0.28

-0.14

Federal Signal

0.40

0.29

Ford Motor Company

0.97

1.45

GTE Corp

0.81

0.73

ITT Industries

0.59

0.6

Kimberly-Clark

0.61

-0.27

Minnesota Mining & Mfr.

0.91

0.89

Procter & Gamble

0.63

0.71

 

 


8)  a)  These are  random samples of values of the DJIA in November and December.  Test the hypothesis that this value is equally variable in the two time periods.  hint

b) Test the hypothesis that the population mean of this value is equal in the two time periods.  hint

 

November

December

7493

8066

7525

8209

7760

7842

7499

7943

7555

7846

7690

8071

7668

8055

7600

8159

7516

7828

7711

8109

 

 

9)  You should be able to interpret all of this printout.  hint

 

SUMMARY OUTPUT

 

 

 

 

 

 

 

 

 

Regression Statistics

 

 

 

Multiple R

0.735101

 

 

 

R Square

0.540374

 

 

 

Adjusted R Square

0.425467

 

 

 

Standard Error

14.16456

 

 

 

Observations

16

 

 

 

 

 

 

 

 

ANOVA

 

 

 

 

 

df

SS

MS

F

Regression

3

2830.58625

943.52875

4.70271908

Residual

12

2407.6167

200.634725

 

Total

15

5238.20295

 

 

 

 

 

 

 

 

Coefficients

Standard Error

t Stat

P-value

Intercept

-179.973

112.858543

-1.5946793

0.13676805

Curb Weight (lb.)

-0.01431

0.0167821

-0.8524396

0.41066111

Horsepower

-0.15314

0.14947024

-1.0245438

0.32578912

Speed at 1/4 mile (mph)

3.141385

1.29764869

2.42082886

0.03226857