1. Decide whether you reject or fail to reject the null and interpret for the following statistical tests (4 points) a. H. : My = 80; H,: Ww = 80; 0=.05; Z. =$1.96; Z.ting =+2.33 b. H.: My = 80; H,: Ww # 80; 0=.05; to = 12.042; totrained =+2.23 C. H.: My =80; H,: Ww & 80; 0=.05; t. =-1.697; tobemined = -1.58 d. H.: us;; H;: & u;; a=.05; to = -1.64; tobe=-1.58 2. Some research has found that female defendants are sentenced less harshly than males, while other research shows little or no evidence of gender disparities in sentencing. Suppose you have a random sample of 50 male and 25 female defendants who were found guilty of burglary. The mean sentence length received for male and female defendants, along with respective standard deviations and sample sizes are presented below. Use an alphe level a = .05 to test the following hypotheses. (6 Points) a. Ho: Huge = Premale b. Ha: Here = Heemale Male Female Defendant Defendant 5 5 X = X = 12.02 3.32 5d = 72.68 5d= 11.31 N. = 50 N. = 25