It is hypothesized that test anxiety and resulting poor performance among school children is due to previous failures and negative conditioning in school. A counterconditioning procedure is proposed to reduce test anxiety. Thirty children, 15 boys and 15 girls, were randomly assinged to one of three treatments, with 5 children of each sex receiving each treatment. Thus, sex can be treated as a blocking factor. There treatments were: A. Counterconditioning: Children were shown neutral words, followed by pictures of school-related scenes and positive words. B. Placebo: Children were shown neural words, followed by school-related scenes, but no positive words. C. Control: Children did not experience any treatment procedures. The dependent variable was the score on the Digit Span subtest of the Wechsler Intelligence Scale for Children. a. Use SAS to perform a two-way analysis of variance, computes treatment means together with their standard errors. Attach a copy of your output to the end of this assignment.. b. Test the null hypothesis that there is no gender by treatment interaction. i. Give the results of your test, test statistic, d.f., and p-value. ii. What are your conclusions? c. Test the null hypothesis that gender has no effect on test scores. i. Give the results of your test, test statistic, d.f., and p-value. ii. What are your conclusions? d. Test the null hypothesis that treatment has no effect on test scores. i. Give the results of your test, test statistic, d.f., and p-value. ii. What are your conclusions?