Sampling the Students The same community college from...

Sampling the Students The same community college from Problem 9 has 7656 students currently enrolled in classes. To gain the students' opinions about an upcoming building project, the college president wishes to obtain a simple random sample of 20 students. He numbers the students from 1 to 7656. (a) Using Table I from Appendix A, the president closes his eyes and drops his ink pen on the table. It points to the digit in row $11,$ column $32 .$ Using this position as the starting point and proceeding downward, determine the numbers for the 20 students who will be included in the sample. (b) If the president uses technology, determine the numbers for the 20 students who will be included in the sample.

Sampling the Students The same community college from Problem 9 has 7656 students currently enrolled in classes. To gain the students' opinions about an upcoming building project, the college president wishes to obtain a simple random sample of
20 students. He numbers the students from 1 to 7656.
(a) Using Table I from Appendix A, the president closes his eyes and drops his ink pen on the table. It points to the digit in row $11,$ column $32 .$ Using this position as the starting point and proceeding downward, determine the numbers for the 20 students who will be included in the sample.
(b) If the president uses technology, determine the numbers for
the 20 students who will be included in the sample.

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Key Concepts

Random Number Generation Technology

Random number generation technology involves using computer software or devices to produce random numbers. This method enhances efficiency and accuracy in sampling by quickly generating numbers without the manual constraints of a printed table, often incorporating algorithms to ensure randomness.

Random Number Table

A random number table is a pre-printed table of digits generated in a random sequence. In sampling, you can use this table by selecting a starting point and following a specific pattern (such as reading downward) to obtain random numbers that correspond to elements in the sampling frame.

Simple Random Sampling

Simple random sampling is a method where every member of the population has an equal chance of being selected for the sample. This technique minimizes bias and supports the statistical validity of the results because the selection process is entirely random.

Sampling Frame

A sampling frame is the complete list or representation of all members of a population from which a sample is drawn. In this context, each student number from 1 to 7656 forms the sampling frame, ensuring that every student has an equal opportunity to be selected.

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