Author: Anonymous

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. What is the alternative hypothesis (H1)

[example continued…] 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?

[example continued…] 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   SP = ____

[example continued…] 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 =   degrees of freedom, df = ______, and the Chi Square critical boundary = ______

Given the following data: SP = 80; SSX = 50; MY = 30; MX = 15 The slope, b = 

[example continued…] For the following data: [µ = 80, σ = 24, n = 36, M = 85], zM = ______ [note: zM is the z score for the sample mean]

[example continued…] Does training in meditation make a difference for student success?  10 students received training (M1= 88, SS1= 240) and 5 students did not (M2= 82, SS2= 150). Test using α = .05   What is the correct result based on the data?

Name the opening.  magnum foramen.jpg [BLANK-1]

Is this a male or female pelvis? IMG_1171.JPG [BLANK-1]

Problem 1. Let u→=-1,-2,4{“version”:”1.1″,”math”:”u→=-1,-2,4″} and v→=-5,6,-7{“version”:”1.1″,”math”:”v→=-5,6,-7″} be vectors. Part (a) (5 points) Find 2u→-v→{“version”:”1.1″,”math”:”2u→-v→”} Part (b) (5 points) Find u→{“version”:”1.1″,”math”:”u→”}, the magnitude of u→{“version”:”1.1″,”math”:”u→”} Part (c) (5 points) Find the unit vector in the direction of u→{“version”:”1.1″,”math”:”u→”} Problem 2. Let u→=2,2,-1{“version”:”1.1″,”math”:”u→=2,2,-1″} and v→=1,2,2{“version”:”1.1″,”math”:”v→=1,2,2″} be vectors. Part (a) (5 points) Find the dot product u→·v→{“version”:”1.1″,”math”:”u→·v→”} Part (b) (5 points) Find the cross product u→×v→{“version”:”1.1″,”math”:”u→×v→”} Part (c) (5 points) Find the angle between the two vectors u→{“version”:”1.1″,”math”:”u→”} and v→{“version”:”1.1″,”math”:”v→”} Problem 3. (15 points) Find an equation of the line L{“version”:”1.1″,”math”:”L”} passing through the points P(1,1,2){“version”:”1.1″,”math”:”P(1,1,2)”} and Q(1,-1,3){“version”:”1.1″,”math”:”Q(1,-1,3)”}, and then find the distance between the point R(0,0,5){“version”:”1.1″,”math”:”R(0,0,5)”} and the line L{“version”:”1.1″,”math”:”L”}. Problem 4. (15 points) Find an equation of the plane passing through the points P(1,-1,0){“version”:”1.1″,”math”:”P(1,-1,0)”}, Q(2,2,1){“version”:”1.1″,”math”:”Q(2,2,1)”}, and R(-1,-2,-1){“version”:”1.1″,”math”:”R(-1,-2,-1)”}. Problem 5. Consider the vector-value function r→(t)=t2,et,sint{“version”:”1.1″,”math”:”r→(t)=t2,et,sint”}. Part (a) (5 points) Find limt→0r→(t){“version”:”1.1″,”math”:”limt→0r→(t)”} Part (b) (5 points) Find the derivative of r→(t){“version”:”1.1″,”math”:”r→(t)”} Part (c) (5 points) Find ∫r→(t)dt{“version”:”1.1″,”math”:”∫r→(t)dt”} Problem 6. (10 points) Find the arch length of the curve   r→(t)=2sint,2cost,t{“version”:”1.1″,”math”:”  r→(t)=2sint,2cost,t”} with 1≤t≤3{“version”:”1.1″,”math”:”1≤t≤3″}. Problem 7. (15 points) Consider the curve r→(t)=t,t2,4{“version”:”1.1″,”math”:”r→(t)=t,t2,4″}. Find the unit tangent vector T→{“version”:”1.1″,”math”:”T→”} and the curvature at t=0{“version”:”1.1″,”math”:”t=0″}. Once you are done, take photos of your handwritten work, convert it into a pdf, and then send your work to your instructor within ten minutes after you hit the submit button on the exam. You can either sent it to the instructor via D2L messages or to the following email address            collier.gaiser@ccaurora.edu