sas code help: A researcher conducted experiments to compare memory performance between serial and free recall. A total of 72 participants were randomly assigned to different treatment groups. Each participant viewed 11 letters on a computer screen, completed a movement task, and then recalled the presented letters. Each participant attended one session and repeated the entire procedure four times, with different sets of letters each time. The outcome measure is the average number of correctly recalled letters out of the first 5 presented. You can download the data file at the following link.

http://www.auburn.edu/~zengpen/teaching/STAT-7010/datasets/letters.csv

The meaning of the variables are as follows.

Time	Meaning
1	8:00 -- 10:00 session
2	10:00 -- 12:00 session
3	12:00 -- 2:00 session
4	2:00 -- 4:00 session

Memory	Meaning
1	serial recall
2	free recall

Movement	Meaning
1	turn two glasses upside down
2	move two cylinders from an upper shelf to a lower shelf
3	move one cylinder from an upper shelf to a lower shelf

Answer questions based on a model with all main effects, two-factor interactions, and three-factor interactions of time, memory, and movement. In this problem, treat memory, movement, and their interaction as fixed effects, and treat time and all interactions involving time as random.

a.Is the three-factor interaction significant? State the null and alternative hypothesis. Report the test statistic, degrees of freedom, and p-value. What is your conclusion?

could you write sas code has this model state it?

also what to do with the other model as : Answer questions based on a model with all main effects, two-factor interactions, and three-factor interactions of time, memory, and movement. All effects are fixed effects.