Which is the correct input-output table for the - id6935676, alleshia2007

Question

Mathematics: Which is the correct input-output table for the function f(x) = +4? ОА. Input (*) -3-2 1 2 3 Output fx) -1.5 -2 53.5 3 ОВ. Input (*) -3 -2 1 2 3 Output f(x) 32.5 75.5 5 C. Input () -3 -2 1 2 3 Output (%) -11.5 5 7 7.5 OD. Input (*) -3 -2 1 2 3 Output f(x) 1 43.5 64.5

alleshia2007 · Accepted Answer

The sample size must be 116 so that the sample mean is within 6 IQ points of the true mean.

Step-by-step explanation:

We are given the following in the question:

Mean, $\bar{x}$ = 100

Alpha, α = 0.01

Population standard deviation, σ = 25

Margin of error = 6

We have to find the sample size such that the margin of error is 66.

Margin of error =

$z_{critical}\times \dfrac{\sigma}{\sqrt{n}}$

$z_{critical}\text{ at}~\alpha_{0.01} = 2.58$

Putting values, we get,

$6 = 2.58\times \dfrac{25}{\sqrt{n}}\\\\\sqrt{n} = \dfrac{2.58\times 25}{6}\\\\\sqrt{n} = 10.75\\n = 115.5625\approx 116$

Thus, the sample size must be 116 so that the sample mean is within 6 IQ points of the true mean.

Yes, this is a reasonable sample size as it gives the required margin of error but it is a sairly large number.

Which is the correct input-output table for the function f(x) = +4?
ОА.
Input ()
-3-2
1
2
3
Output fx) -1.5 -2
53.5
3
ОВ.
Input ()
-3
-2
1
2
3
Output f(x) 32.5
75.5
5
C.
Input ()
-3
-2
1
2
3
Output (%) -11.5
5 7 7.5
OD.
Input (*)
-3 -2
1
2
3
Output f(x) 1 43.5
64.5

Ответ:

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