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 2 -2 -1 4 1 2 4 2 -1 -1 1 1 ___ 6 4 1 ___ 1 1 1 7 4 2 1 ___ 1 2   What is the missing value under the (X-MX)(Y-MY) column? (far right column)

The average YouTube user spends 40 minutes per session, using YouTube (μ = 40), and σ is unknown. Test whether ARC students who are YouTube users (n = 16, M = 38, SS = 960) differ from the average YouTube user on number of minutes spent using YouTube per session. α = .05. Based on this data, we could be making a  ____ error.  Based on this data, we should conclude that ARC students ______ from the average YouTube user. 

Scenario: 100 people were asked, “What is your favorite type of TV show?” Below are the data.  Test the null hypothesis that the population frequencies for each category are equal.  α= .05. drama comedy action romance fo = 20 fo = 30 fo =40 fo = 10 fe = fe = fe = fe =   degrees of freedom, df = ______, and the Chi Square critical boundary = ______

The personality trait of “Conscientiousness” (someone who is organized, responsible, and can control their impulses) has μ = 110 and σ = 10. Test whether ARC students (n = 25, M = 117) differ on Conscientiousness. α = .05. Does the z score for the sample mean lie in the critical region (beyond the critical boundary)?

Scenario: 100 people were asked, “What is your favorite type of TV show?” Below are the data.  Test the null hypothesis that the population frequencies for each category are equal.  α= .05. drama comedy action romance fo = 20 fo = 30 fo =40 fo = 10 fe = fe = fe = fe =   The expected frequency,  fe = ____

The personality trait of “Conscientiousness” (someone who is organized, responsible, and can control their impulses) has μ = 110 and σ = 10. Test whether ARC students (n = 25, M = 117) differ on Conscientiousness. α = .05. What type of error could you be making?

Assume a normal distribution. What is p(z < +2.50)?

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 2 -2 -1 4 1 2 4 2 -1 -1 1 1 ___ 6 4 1 ___ 1 1 1 7 4 2 1 ___ 1 2   Positive or negative correlation?

Assume a normal distribution. For the following data: , the probability of a sample mean greater than 85, p(M > 85) = _______.

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 = 116 fe = fo = 84 fe = Bad Outcome fo = 64 fe = fo = 36 fe =   The Chi Square test statistic = _____