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Suppose we are trying to find the effects of 3 categorical variables on the response (numerical) variable. Factor A with a levels, Factor B with b levels, and Factor C with c levels. Therefore, there are a.b.c treatments and (as a result) a.b.c population means (Let g=a.b.c). Our goal is to test the hypothesis:
Ho: μ1 = μ2 = ... = μg = μ vs.
Ha: At least one of μi ≠ μ.
Use the same method we developed for TWO-WAY ANOVA in class to test the hypothesis of equality of all population means (hypothesis stated above). State all null and alternative hypotheses we need firstly to test in order to test the final hypothesis and explain your procedure. Hint: Your procedure must contain 7 hypotheses. At each step we test a hypothesis, if we fail to reject the null hypothesis we will continue, and if we reject the null hypothesis we will stop.
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
The greenhouse I a building for my wife is 6 feet longer than it is wide. Write an algebraic expression for the perimeter if the length is expressed as x. If x equals 20, what id the perimeter?
find the value of the trigonometric function given that sin u = 5/13 and cos v = -3/5 c(u+v)
A church steeple casts a shadow 115 ft long, at the same time a 9.0 ft post casts a shadow 7.0 ft long. How high is the steeple?
If t=0 at the start, for what values of t will the velocity of the particle A exceed the velocity of particle B.
What does it mean to refer to a 20-in TV set? Such unitsrefer to the diagonal of the screen. A 25-in TV also has a width of 20 inches. What is the height of a 20-in TV?
find the volume of the solid lying under the elliptic paraboloid x^2/4+y^2/9+z=1 and above the rectangle R = [-1,1]x[-2,2]
A bomber flying at a height of 30,000 ft and 540 mph spots its target at an angle of depression of 10 degrees. At what angle of depression should the bomber release its bomb in order to hit the target?
select a quadratic equation and solve it using the completing the square method. show your work in full
Determine algebraically whether the given function is even, odd, or neither.
What was the population distribution in that state at the beginning of 2000? (Round your answers to one decimal place.)
The monthly cost in dollars of a phone plan is a linear function of the calling time in minutes. The monthly cost for 40 minutes of calls is $14.18 and the monthly cost for 96 minutes is $19.22.
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