Industrial Engineering Chapter 6 Homework Reserve Problems Section Problem The Following

C

D

How does the boxplot compare in interpretive value to the original stem-and-leaf diagram?

SOLUTION

Reserve Problems Chapter 6 Section 6 Problem 1

The following table presents data on the ratings of quarterbacks for the 2008 National Football

league season (source: The Sports Network). It is suspected that the rating (y) is related to the

average number of yards gained per pass attempt (x).

Player

Team

Yards per Attempt

Rating Points

Philip

Rivers

SD

8.39

105.5

Chad

Pennington

MIA

7.67

97.4

Kurt

Warner

ARI

7.66

96.9

Drew

Brees

NO

7.98

96.2

Peyton

Manning

IND

7.21

95

Aaron

Rodgers

GB

7.53

93.8

Matt

Schaub

HOU

8.01

92.7

Tony

Romo

DAL

7.66

91.4

Jeff

Garcia

TB

7.21

90.2

Matt

Cassel

NE

7.16

89.4

Matt

Ryan

ATL

7.93

87.7

Shaun

Hill

SF

7.10

87.5

Seneca

Wallace

SEA

6.33

87

Eli

Manning

NYG

6.76

86.4

Donovan

McNabb

PHI

6.86

86.4

Jay

Cutler

DEN

7.35

86

Trent

Edwards

BUF

7.22

85.4

Jake

Delhomme

CAR

7.94

84.7

Jason

Campbell

WAS

6.41

84.3

David

Garrard

JAC

6.77

81.7

Brett

Favre

NYJ

6.65

81

Joe

Fiacco

BAL

6.94

80.3

Kerry

Collins

TEN

6.45

80.2

Ben

Roethlisberger

PIT

7.04

80.1

Kyle

Orton

CHI

6.39

79.6

JaMarcus

Russel

OAK

6.58

77.1

Tyler

Thigpen

KC

6.21

76

Gus

Freotte

MIN

7.17

73.7

Dan

Orlovsky

DET

6.34

72.6

Marc

Bulger

STL

6.18

71.4

Ryan

Fitzpatrick

CIN

5.12

70

Derek

Anderson

CLE

5.71

66.5

(a) Select the correct scatterplot.

A

B

C

D

(b) Comment on the suspicion that rating is related to yards per attempt.

(c) What is the simple correlation coefficient between these two variables?

SOLUTION

(a)

(b)

Reserve Problems Chapter 6 Section 6 Problem 2

An article in Technometrics by S. C. narula and J. F. Wellington [“Prediction, Linear Regression,

and a Minimum Sum of Relative Errors” (1977, Vol. 19)] presents data on the selling price and

annual taxes for 24 houses. The data are shown in the following table.

Sale

Price/1000

Taxes (local,

school,

country)/1000

Sale

Price/1000

Taxes (local,

school,

country)/1000

25.9

4.9176

30.0

5.0500

29.5

5.0208

36.9

8.2464

27.9

4.5429

41.9

6.6969

25.9

4.5573

40.5

7.7841

29.9

5.0597

43.9

9.0384

29.9

3.8910

37.5

5.9894

30.9

5.8980

37.9

7.5422

28.9

5.6039

44.5

8.7951

35.9

5.8282

37.9

6.0831

31.5

5.3003

38.9

8.3607

31.0

6.2712

36.9

8.1400

30.9

5.9592

45.8

9.1416

(a) Select the correct scatterplot.

A

B

C

D

(b) Comment on the widely held belief that price is related to taxes paid.

(c) What is the simple correlation coefficient between these two variables?

SOLUTION

(a)

(b)

Reserve Problems Chapter 6 Section 7 Problem 1

The following data are the numbers of cakes sold by a bakery on different days: 234, 246, 214,

267, 253, 220, 259, 264, 240, 251, 230, 247, 255.

Choose the correct normal probability plot of this data:

A

B

C

D

Does it seem reasonable to assume that the number of cakes sold is normally distributed?

SOLUTION

Reserve Problems Chapter 6 Section 7 Problem 2

The following data are the measurements of October rainfall (mm) in Kiev from 2010 to 2016:

44.9, 78.8, 50.6, 14.2, 21.3, 39, 103.1

Choose the correct normal probability plot of this data:

A

B

C

D

Does it seem reasonable to assume that the rainfall is normally distributed?

SOLUTION

According to the normal probability plot, it seems reasonable to assume that the rainfall is

normally distributed.

Reserve Problems Chapter 6 Section 7 Problem 3

On Mondays 19 Patients receive hemodialysis treatment in a dialysis unit. Here are the durations

of their treatment in months: 1, 4, 7, 12, 13, 15, 18, 22, 26, 27, 28, 33, 38, 45, 47, 56, 65, 79, 109.

Choose the correct normal probability plot of this data:

A

B

C

D

Does it seem reasonable to assume that the duration of treatment is normally distributed?

SOLUTION

Reserve Problems Chapter 6 Section 7 Problem 4

The following data are the results of 20 measurements of patient’s systolic blood pressure during

the period of illness: 98, 160, 136, 128, 130, 114, 123, 134, 128, 107, 123, 125, 129, 132, 154,

115, 126, 132, 136, 130.

Choose the correct normal probability plot of this data:

A

B

C

D

Does it seem reasonable to assume that the systolic blood pressure is normally distributed?

SOLUTION

According to the normal probability plot, it seems reasonable to assume that the systolic blood

pressure is normally distributed. However, the distribution seems to be heavy-tailed.

Reserve Problems Chapter 6 Section 7 Problem 5

The following data are the joint temperatures of the O-rings (°F) for each test firing or actual

launch of the space shuttle rocket motor (from Presidential Commission on the Space Shuttle

Challenger Accident, Vol. 1, pp. 129–131): 84, 49, 61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68, 60,

67, 72, 73, 70, 57, 63, 70, 78, 52, 67, 53, 67, 75, 61, 70, 81, 76, 79, 75, 76, 58, 31.

Select the correct normal probability plot of the O-ring joint temperature data.

A

B