Final answer:
A Partitioned Data Set (PDS) contains a directory and members. Systematic Sampling is used by the health club by selecting every tenth customer. The department store manager utilizes Cluster Sampling by interviewing all employees in randomly selected departments.
Step-by-step explanation:
The types of data sets being referred to in this question pertain to structures in IBM's z/OS operating systems for mainframe computers. Specifically, the question is asking which type of data set contains a directory and members. The correct answer is A. Partitioned. A Partitioned Data Set (PDS) is a data set containing multiple members, each of which can hold a separate sub-file, similar to a directory structure in other operating systems.
In relation to the provided reference information:
- The health club's sampling design described in the scenario is an example of Systematic Sampling, since they are selecting every tenth customer.
- The department store's survey design, where the manager chooses to interview all employees from randomly selected departments, is an example of Cluster Sampling.