3. Suppose you are testing H0 : µ = 20 vs H1 : µ > 20. The sample is large (n = 71) and the variance, σ 2 , is known. (a) Fin
1 answer:
Answer:
We reject the null hypothesis.
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 71
Population variance is known.
Level of significance, α = 0.08
The null and alternate hypothesis are:
We use one-tailed z test to perform this hypothesis.
Formula:
Now,
Since,
We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.
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I'm assuming you're talking about the indefinite integral
and that your question is whether the substitution
would work. Well, let's check it out:
which essentially brings us to back to where we started. (The substitution only served to remove the scale factor in the exponent.)
What if we tried
next? Then 
, giving
Next you may be tempted to try to integrate this by parts, but that will get you nowhere.
So how to deal with this integral? The answer lies in what's called the "error function" defined as
By the fundamental theorem of calculus, taking the derivative of both sides yields
and so the antiderivative would be
The takeaway here is that a new function (i.e. not some combination of simpler functions like regular exponential, logarithmic, periodic, or polynomial functions) is needed to capture the antiderivative.
and that your question is whether the substitution
which essentially brings us to back to where we started. (The substitution only served to remove the scale factor in the exponent.)
What if we tried
Next you may be tempted to try to integrate this by parts, but that will get you nowhere.
So how to deal with this integral? The answer lies in what's called the "error function" defined as
By the fundamental theorem of calculus, taking the derivative of both sides yields
and so the antiderivative would be
The takeaway here is that a new function (i.e. not some combination of simpler functions like regular exponential, logarithmic, periodic, or polynomial functions) is needed to capture the antiderivative.
On solving the question, we got that - The dimensions of the rug should be 18 feet and 24 feet
<h3>What is area of rectangle?</h3>By multiplying the rectangle's length by its breadth, we may get its area.
Equiangular quadrilaterals, like rectangles, are known in this way. This is so because a rectangle is a four-sided quadrilateral shape with parallel sides that are equal to one another and four corners with 90o angles. Rectangles are sometimes known as equiangular quadrilaterals since all of its angles are 90 degrees.
the parameters provided;
The room is 20 feet by 26 feet in size.
432 feet2 is the largest area rug she can afford.
If the floor will be a uniform stripe around the rug, then each dimension should have its uniform extra length of floor = (y).
here, a= 1, b= -46, c =88
Therefore, Length = 20-2 = 18 ft
and width = 26-2 = 24ft
To know more about rectangle visit:
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