MNS 601 NU Statistics Data Set & Shadow Stocks Questions & Excel Worksheet Directions: a)Enter all your answers into this Word document (immediately follo

MNS 601 NU Statistics Data Set & Shadow Stocks Questions & Excel Worksheet Directions:

a)Enter all your answers into this Word document (immediately following the relevant question) and submit the entire document. IMPORTANT: The name of your Word document MUST begin with your LAST NAME.

b)When you use a Template to calculate an answer, copy and paste the results into this document.

c)While putting your answers in a different color font is helpful, please DO NOT use red font since this is the color used to provide feedback on your answers.

1.The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors. Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.

a.How many variables are in the data set?

b.Which of the variables are categorical and which are quantitative?

c.For the Exchange variable, show the frequency and the percent frequency for AMEX, NYSE, and OTC. Construct a bar graph similar to Figure 1.4 (in the textbook) for the Exchange variable.

d.Show the frequency distribution for the Gross Profit Margin using he five intervals: 0 – 14.9, 15 – 29.9, 30 – 44.9, 45 – 59.9, and 60 – 74.9. Construct a histogram similar to Figure 1.5 (in the textbook).

e.What is the average price/earnings ratio?

DATA SET FOR 25 SHADOW STOCKS

Company

Exchange

Ticker Symbol

Market Cap ($ millions)

Price/ Earnings Ratio

Gross Profit Margin (%)

DeWolfe Companies

AMEX

DWL

36.4

8.4

36.7

North Coast Energy

OTC

NCEB

52.5

6.2

59.3

Hansen Natural Corp.

OTC

HANS

41.1

14.6

44.8

MarineMax, Inc.

NYSE

HZO

111.5

7.2

23.8

Nanometrics Inc.

OTC

NANO

228.6

38.0

53.3

Team Staff, Inc.

OTC

TSTF

92.1

33.5

4.1

Environmental Tectonics

AMEX

ETC

51.1

35.8

35.9

Measurement Specialties

AMEX

MSS

101.8

26.8

37.6

SEMCO Energy, Inc.

NYSE

SEN

193.4

18.7

23.6

Party City Corporation

OTC

PCTY

97.2

15.9

36.4

Embrex, Inc.

OTC

EMBX

136.5

18.9

59.5

Tech/Ops Sercon, Inc.

AMEX

TO

23.2

20.7

35.7

ARCADIS NV

OTC

ARCAF

173.4

8.8

9.6

Qiao Xing Universal Tele.

OTC

XING

64.3

22.1

30.8

Energy West Inc.

OTC

EWST

29.1

9.7

16.3

Barnwell Industries, Inc.

AMEX

BRN

27.3

7.4

73.4

Innodata Corporation

OTC

INOD

66.1

11.0

29.6

Medical Action Industries

OTC

MDCI

137.1

26.9

30.6

Instrumentarium Corp.

OTC

INMRY

240.9

3.6

52.1

Petroleum Development

OTC

PETD

95.9

6.1

19.4

Drexler Technology Corp.

OTC

DRXR

233.6

45.6

53.6

Gerber Childrenswear, Inc.

NYSE

GCW

126.9

7.9

25.8

Gaiam, Inc,

OTC

GAIA

295.5

68.2

60.7

Artesian Resources Corp.

OTC

ARTNA

62.8

20.5

45.5

York Water Company

OTC

YORW

92.2

22.9

74.2

2.People often wait till middle age to worry about having a healthy heart. However, recent studies have shown that earlier monitoring of risk factors such as blood pressure can be very beneficial (The Wall Street Journal, January 10, 2012). Having higher than normal blood pressure, a condition known as hypertension, is a major risk factor for heart disease. Suppose a large sample of individuals of various ages and gender was selected and that each individual’s blood pressure was measured to determine if they have hypertension. For the sample data, the following table shows the percentage of individuals with hypertension.

a.Develop a side-by-side bar chart with age on the horizontal axis, the percentage of individuals with hypertension on the vertical axis, and side-by-side bars based on gender.

b.What does the display you developed in part (a), indicate about hypertension and age?

c.Comment on differences in gender.

Age

Male

Female

20 – 34

11.0%

9.0%

35 – 44

24.0%

19.0%

45 – 54

39.0%

37.0%

55 – 64

57.0%

56.0%

65 – 74

62.0%

64.0%

75 +

73.3%

79.0%

3.The department of transportation’s study on driving speed and miles per gallon for midsize automobiles resulted in the data below.

a.Plot the speed and miles per gallon using a scatter plot with speed on the horizontal axis.

b.Compute the sample mean and standard deviation for each variable.

c.Compute the sample correlation coefficient. Is there a positive or negative correlation between these two variables? Comment.

Speed (Miles per Hour)

30

50

40

55

30

25

60

25

50

55

Miles per Gallon

28

25

25

23

30

32

21

35

26

25

4.The U.S. Census Bureau serves as the leading source of quantitative data about the nation’s people and economy. The following cross-tabulation shows the number of households (1,000s) and the household income by the highest of level of education for the head of the household (U.S. Census Bureau website, 2013). Only households in which the head has a high school diploma or more are included.

a.Develop a joint probability table

b.What is the probability of the head of one of these households having a master’s degree or more education?

c.What is the probability of a household headed by someone with a high school diploma earning $100,000 or more?

d.What is the probability of one of these households having an income below $25,000?

e.What is the probability of a household headed by someone with a bachelor’s degree earning less than $25,000?

f.Is household income independent of educational level?

Highest Level of Education

Household Income

Under $25,000

$25,000 to $49,999

$50,000 to $99,999

$100,000 and Over

TOTAL

High School Graduate

9880

9970

9441

3482

32,773

Bachelor’s Degree

2484

4164

7666

7817

22,131

Master’s Degree

685

1205

3019

4094

9003

Doctoral Degree

79

160

422

1076

1737

TOTAL

13,128

15,499

20,548

16,469

65,644