Question 1
a therapist conducted a study comparing the effectiveness of treating mild and severe phobias (factor a) using two
different therapy techniques (factor b). forty participants were randomly assigned into 1 of 4 groups differing in phobia
type (mild, severe) and therapy technique (therapy a, or b). all participants were rated on the number of phobia
behaviors displayed after therapy.
this is a 2-way anova. write out null and alternative hypotheses, complete the table, and provide english translations
of significant or nonsignificant findings in sentence form. use a 0.05 level of significance
(alpha), nondirectional hypothesis (2-tailed). you do not need to calculate effect size nor tukey's hsd for this problem.
fcritical p values
d
ms
between
treatments
axb
within treatments
total
338

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality