4) Left-tailed test; test statistic value t = 2.06; degrees of freedom df = 20; p-value = %3D 5) Two-sided test; test statistic value t 2.26; degrees of freedom df = 13; p-value = %3| %3D 6) Two-sided test; test statistic value t = 0.99; degrees of freedom df = 22; p-value

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A: 1). The possibilities when size n=4 can be drawn from a population of size 15:…

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A: For the given 3 parts, we need to use the concept of statistical inference.

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A:

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A: The tail of the test is determined by checking symbol in alternative hypothesis.

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A: Given :  n = 180 x = 18 p^ = 18/180 = 0.1

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A:

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A: Part (1) Given graph of function is

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A: (3)

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A: calculate the a22 .

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A: We need to use the concept of regression analysis.

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A:

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A: Solution

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A: Average rate of change  of a function f(x) over interval [a,b] is given as:  f(b)-f(a)b-a

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A:

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A: See the handwritten solution

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A: We will answer the first question only as per our guideline as there is already four subparts.…

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A: As per our guidelines we are supposed ro answer only one question per post so I am solving first…