Final answer:
The false statement regarding the use of arrays to create variables is d. Only character variables can be created. Arrays can be used to create various types of variables, including both character and numeric variables.
Step-by-step explanation:
The statement that is false regarding the use of arrays to create variables is d. Only character variables can be created. In reality, arrays can be used to create both character and numeric variables within programs. When declaring an array in a programming language, you typically need to specify the array elements' data type; it could be integers, floats, characters, or any other data type supported by the language. For example, in the C programming language, you might declare an integer array as int array_name[10], which would create an array capable of holding 10 integer values.
Statement a mentions that variables are added to program data vector during compilation, which is a concept that could relate to specific languages or environments like SAS, where variables can be initialized during the compilation of a DATA step. Statement b says you do not need to specify array elements in the ARRAY statement, but generally, you do have to either explicitly or implicitly specify elements or the size of the array. Statement c is also language-specific. For instance, in SAS, character variables have a default length of eight, but this might be different in other programming environments.