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lara31 [8.8K]
2 years ago
6

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution

when _____
Mathematics
1 answer:
Gennadij [26K]2 years ago
4 0

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.

<h3>What is the Central limit theorem?</h3>
  • The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.
  • Approximation of the distribution occurs when the sample size is greater than or equal to 30 and n(1 - p) ≥ 5.

Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.

Learn more about the central limit theorem here:

brainly.com/question/13652429

#SPJ4

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4. Which of the following lines is perpendicular to y = -2X + 8?
Alenkinab [10]

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.

That is to say:

m_ {1} * m_ {2} = - 1

We have the following equation:

y = -2x + 8

So:

m_ {1} = - 2

Thus:

m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- 2}\\m = \frac {1}{2}

Thus, a line perpendicular to the given line must have slope m = \frac {1} {2}.

Option A:

x + 2y = 8\\2y = -x + 8\\y = - \frac {1} {2} x + 4

It is not perpendicular!

Option B:

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If it is perpendicular!

Option C:

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Option D:

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It is not perpendicular!

The correct option is option B

ANswer:

Option B

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