Megacities Risk. In an issue of Discover (Vol. 26, No. 5, p. 14). A. Casselman looked at the natural-hazards risk index of megacities to evaluate potential loss from catastrophes such as earthquakes, storms, and volcanic eruptions. Urban areas have more to lose from natural perils, technological risks, and environmental hazards than rural areas. The top 10 megacities in the world are Tokyo, San Francisco, Los Angeles, Osaka, Miami, New York, Hong Kong, Manila, London, and Paris.

(a) Suppose that you decide to take a simple random sample of five of these 10 megacities. Use Table I in Appendix A to obtain five random numbers that you can use to specify your sample.

(b) If you have access to a random-number generator, use it to solve part (a).

Short Answer

Expert verified

Part (a) Hong Kong, Tokyo, Los Angles, Miami, and London.

Part (b) Tokyo, Los Angles, London, New York, and Miami.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

Tokyo, San Francisco, Los Angeles, Osaka, Miami, New York, Hong Kong, Manila, London, and Paris are the top ten megacities in the globe.

Assign each megacity a number:

S. No.Megacities
0Tokyo
1San Francisco
2Los Angeles
3Osaka
4Miami
5New York
6Hong Kong
7Manila
8London
9Paris
02

Part (a) Step 2. Obtain a random sample of size 5 by using Table I in Appendix A.

An SRS consists of 5 megacities out of a total population of 10.

Follow the below-given procedure:

Step 1: Look up random numbers in Table I.

Step 2: Select 5 as the line number.

Step 3: Select the fifth column.

Step 4: In Line 5, begin with a one-digit number.

Step 5: Choose the first number.

Step 6: Avoid number duplication.

Step 7: Go down the column to the second number, which is 0.

Step 8: Go down the column to the third number, which is 2.

Step 9: Go down the column to the fourth number, which is 4.

Step 10: Go down the column and find the fifth number, which is 8.

Output: SRS

6, 0, 2, 4, 8

Therefore, the sample includes Hong Kong, Tokyo, Los Angles, Miami, and London.

03

Part (b) Step 1. Use a random number generator to solve part (a).

To get an SRS of size 5 from the population, use MINITAB.

Follow the below-given procedure for MINITAB:

Step 1: Select Calc > Random Data > Integer from the menu bar.

Step 2: Double your selected sample size in the Number of rows of data to generate a section, just in case there are repeats. Set the sample size to 7. Step 3: In the Store in the column, type SRS in column C1.

Step 4: Enter 0 for the minimum value and 9 for the maximum value.

Step 5: Select OK.

MINITAB output is:

0 0 2 8 2 5 4

Therefore, the resultant sample includes Tokyo, Los Angles, London, New York, and Miami.

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