Chapter 7, Problem 42SE

U.S. News & World Report publishes comprehensive information on America’s best colleges (America’s Best Colleges, 2009 ed.). Among other things, they provide a listing of their 133 best national universities. You would like to take a sample of these universities for a follow-up study on their students. Begin at the bottom of the third column of random digits in Table 7.1. Ignoring the first two digits in each five-number group and using the three-digit random numbers beginning with 959 read up the column to identify the number (from 1 to 133) of the first seven universities to be included in a simple random sample. Continue by starting at the bottom of the fourth and fifth columns and reading up if necessary.

To determine

Identify the numbers of the first seven universities to be included in a simple random sample.

Answer to Problem 42SE

The random numbers correspond to first seven universities are 122, 99, 25, 55, 115, 102, and 61.

Explanation of Solution

Calculation:

A list of 133 best national universities are given.

Assign the numbers 1 to 133 for list of 133 best national universities. A simple random sample is formed by selecting 7 universities using the random number table.

Procedure to get 7 random digits is given below:

• From the bottom of the 3^rd column of table 7.1, ignoring the first two digits in each five-numbers, read up to the column. Ignore the numbers greater than 133.
• The first number is 122.
• Continue reading up the 3^rd column to get the second number 99.
• Similarly, read up the 4^th and 5^th columns to get remaining numbers.

Therefore, the random numbers that correspond to the seven universities are 122, 99, 25, 55, 115, 102, and 61.