Question

Top North American Athletes. As part of ESPN's SportsCenturyRetrospective, a panel chosen by ESPN ranked the top 100 North American athletes of the twentieth century. For a class project, you are to obtain a simple random sample of 15 of these 100 athletes and briefly describe their athletic feats.

(a) Explain how you can use Table I in Appendix A to obtain the simple random sample.

(b) Starting at the three-digit number in line number 10 and column numbers 7-9 of Table I, read down the column, up the next, and so on, to find 15 numbers that you can use to identify the athletes to be considered.

(c) If you have access to a random-number generator, use it to obtain the required simple random sample

Short answer

Part (a) Number the atheletes from 1 to 100.

Part (b) 082 008 016 001 047 094 097 074 052 076 098 003 089 041 063.

Part (c) 011 049 095 011 056 064 060 082 005 028 037 061 009 073 099.

Step-by-step solution

Part (a) Step 1. Given information.

The given statement is:

As part of ESPN's SportsCenturyRetrospective, a panel chosen by ESPN ranked the top 100 North American athletes of the twentieth century. For a class project, you are to obtain a simple random sample of 15 of these 100 athletes and briefly describe their athletic feats.

Part (a) Step 2. Explain how Table I in Appendix A can be used to obtain the simple random sample.

Use table I to generate 15 different numbers between 1 and 100 by numbering the athletes from 1 to 100.

Take 15 athletes who are numbered with the numbers obtained as a sample.

Part (b) Step 1. Find 15 numbers that can be used to identify the athletes to be considered.

The 15 numbers that can be chosen in the technique outlined above to identify the athletes are as follows:

082 008 016 001 047 094 097 074 052 076 098 003 089 041 063

Part (c) Step 1. obtain the required simple random sample.

The resultant numbers are:

011 049 095 011 056 064 060 082 005 028 037 061 009 073 099