A Computer Company Employs 100 Software Engineers and 100 Hardware

Multiple Choice

A computer company employs 100 software engineers and 100 hardware engineers. The personnel manager randomly selects 20 of the software engineers and 20 of the hardware engineers and questions them about career opportunities within the company. Does this sampling plan result in a random sample? Simple random sample? Explain.

A) Yes; no. The sample is random because all employees have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample consisting of 30 software engineers and 10 hardware engineers.

B) No; no. The sample is not random because not all employees have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample consisting of 30 software engineers and 10 hardware engineers.

C) Yes; yes. The sample is random because all employees have the same chance of being selected. It is a simple random sample because all samples of size 40 have the same chance of being selected.

D) No; yes. The sample is not random because not all employees have the same chance of being selected. It is a simple random sample because all samples of size 40 have the same chance of being selected.