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A professor is interested in decisive if attending college influences the level at which an individual cooperates with the police. The professor is not sure if attending college will teach respect for authority and therefore increase level of cooperation or if college will teach independent thinking and therefore lead to deceased level of cooperation. To address this question, the professor gathers information from the students in an undergraduate course and measures their propensity for cooperating with the police (higher number means higher level of cooperation) and compares it to the called mean and standard deviation of the general population. a) Would the professor conduct a 1-tailed or 2-tailed hypothesis test? Describe why. b) Use the information below to conduct a z-test using p=.05 as your alpha level. Make sure you complete all 5 steps and show your work/answers for every step. Sample Population: Mean = 3.13 Mean = 3.02 SD = 0.53 SD = 0.54 n = 86 c) Calculate a 95% confidence interval for the above sample.
find the ratio of each of the following in simplest form 1] 9 months to 7 by 4
x 4 - 25 There is no greatest common factor here. Though, notice that it is the difference of two perfect squares. x 4 - 25 = ( x 2 ) 2 - (5) 2 Thus, we can employ
Fundamental Theorem of Calculus, Part I As noted through the title above it is only the first part to the Fundamental Theorem of Calculus. The first part of this theorem us
us consider the following mass-spring-damper system: md2xdt2+cdxdt+kx=0 with m=5 kg as the mass of the body, k=1.6N/m as the spring constant and two different values of c.
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1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving
Assume that (xn) is a sequence of real numbers and that a, b € R with a is not eaqual to 0. (a) If (x n ) converges to x, show that (|ax n + b|) converges to |ax + b|. (b) Give
sin10+sin20+sin30+....+sin360=0 sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360 sin360-x=-sinx hence all terms cancel
L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12 R.H.S =c
Example of line - Common Polar Coordinate Graphs Example: Graph θ = 3Π, r cos θ = 4 and r sin θ = -3 on similar axis system. Solution There actually isn't too much to
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