Final answer:
In the context of SAS programming language, the correct ARRAY statements are 'Option a' and 'Option c', which correctly define arrays using the correct syntax, with 'Option a' using an asterisk to determine array size and 'Option c' including all numeric variables.
Step-by-step explanation:
The question pertains to the correct syntax for ARRAY statements in the SAS programming language. The correct options for defining arrays in SAS are:
a. array grades{*} Q1 Q4 Q7 Q8 Q12 Q15; - Correct. The asterisk (*) tells SAS to determine the array size based on the number of variables provided.
b. array sites{3} $10; - Incorrect. The $ symbol is used for character variables and should be followed by the length of the character variables, not the number of elements in the array.
c. array trials{*} _numeric_; - Correct. This statement tells SAS to include all numeric variables in the array.
d. array exp{5} _temporary_ (93 85 77 69 61); - Incorrect. The _temporary_ keyword cannot be used this way; instead, it should appear before the array brackets.
Therefore, the correct statements are Option a and Option c.