Consider the hypothesis test H0: μ1= μ2 against H1: μ1.Suppose that the sample sizes aren1 = 15 and n2 =μ2. Assume thatσ21 = σ22
andthat the data are drawn from normal distributions. Use α =0.05.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confidenceinterval.
(c) What is the power of the test in part (a) for a truedifference in means of 3?
(d) Assuming equal sample sizes, what sample size should beused to obtain β = 0.05 if the true difference in means is -2?Assume that α = 0.05.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confidenceinterval.
(c) What is the power of the test in part (a) for a truedifference in means of 3?
(d) Assuming equal sample sizes, what sample size should beused to obtain β = 0.05 if the true difference in means is -2?Assume that α = 0.05.
1 answer:
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The equation in the vertex form of g(x) is:
<h3>How to get the equation of function g?</h3>
We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).
So first, let's rewrite f(x) to its vertex form:
The vertex is at:
The y-value of the vertex is:
Then the vertex form of f(x) is:
If we move this vertex 2 units below, and 3 units to the left, then we have:
That is the equation for g(x) in vertex form.
If you want to learn more about quadratic equations:
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