Below is data for two variables, X and Y.  Answer the questions that follow.  X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 3 3 -2 -1 4 1 2 4 3 -1 -1 1 1 ___ 6 4 1 ___ 1 0 0 7 6 2 2 ___ 4 4   MX = _____; MY = _____

Below is data for two variables, X and Y.  Answer the questions that follow.  X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 3 3 -2 -1 4 1 2 4 3 -1 -1 1 1 ___ 6 4 1 ___ 1 0 0 7 6 2 2 ___ 4 4   r = ____

What is the correct conclusion based on the following ANOVA result:

Is there a difference among the 3 treatments in the table below?  Test using α = .05 Treatment A Treatment B Treatment C 2 3 2 ∑X2 = 280 2 3 4 G = 60 3 4 5 N = 15 3 5 6 k = 3 5 5 8 SS1 = 6 SS2 = 4 SS3 = 20   MSbn = ______ MSwn = ______

Scenario: I’m interested in whether there is a relationship between Team (A vs. B) and Outcome (Good vs. Bad). Below are the data.  Test the null hypothesis that the categories are independent.  α= .05. Team A Team B Good Outcome fo = 75 fe = fo = 45 fe = Bad Outcome fo = 25 fe = fo = 5 fe =   What is the correct result based on the data?

Does training in stress reduction make a difference for student success?  15 students received training (M1= 88, SS1= 400) and 15 students did not (M2= 82, SS2= 440). Test using α = .05   Does training in stress reduction make a difference?

Is there a difference among the 3 treatments in the table below?  Test using α = .05 Treatment A Treatment B Treatment C 2 3 2 ∑X2 = 280 2 3 4 G = 60 3 4 5 N = 15 3 5 6 k = 3 5 5 8 SS1 = 6 SS2 = 4 SS3 = 20   Does the type of treatment make a difference?

Does training in stress reduction make a difference for student success?  15 students received training (M1= 88, SS1= 400) and 15 students did not (M2= 82, SS2= 440). Test using α = .05   s2p=     (pooled variance) =

Below is data for two variables, X and Y.  Answer the questions that follow.  X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 3 3 -2 -1 4 1 2 4 3 -1 -1 1 1 ___ 6 4 1 ___ 1 0 0 7 6 2 2 ___ 4 4   SSX = _____; SSY = _____

Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data.  Test the null hypothesis that the population frequencies for each category are equal.  α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe =   degrees of freedom, df = ______, and the Chi Square critical boundary = ______