Week 1 Mat2038-Statistics

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Section 1.1: Identify the kind of Sample Described

32) Raffle: Five hundred people attend a charity event, and each buys a raffle ticket. The 500 ticket stubs are put in a drum and thoroughly mixed, and 10 of them are drawn. The 10 people whose tickets are drawn win a prize.

Section 3.2: 42.A

42) Stocks or bonds? Following are the annual percentage returns for the years 1996–2015 for three categories of investment: stocks, Treasury bills, and Treasury bonds. Stocks are represented by the Dow Jones Industrial Average.

Year

Stocks

Bills

Bonds

 

Year

Stocks

Bills

Bonds

1996

 26.01

5.02

 1.43

2006

 16.29

4.68

  1.96

1997

 22.64

5.05

 9.94

2007

  6.43

4.64

 10.21

1998

 16.10

4.73

14.92

2008

−33.84

1.59

 20.10

1999

 25.22

4.51

−8.25

2009

 18.82

0.14

−11.12

2000

 −6.18

5.76

16.66

2010

 11.02

0.13

  8.46

2001

 −7.10

3.67

 5.57

2011

  5.53

0.03

 16.04

2002

−16.76

1.66

15.12

2012

  7.26

0.05

  2.97

2003

 25.32

1.03

 0.38

2013

 26.50

0.07

 −9.10

2004

  3.15

1.23

 4.49

2014

  7.52

0.05

 10.75

2005

 −0.61

3.01

 2.87

2015

 −2.23

0.21

  1.28

Source: Federal Reserve

a.

The standard deviation of the return is a measure of the risk of an investment. Compute the population standard deviation for each type of investment. Which is the riskiest? Which is least risky?