Which of the following would produce a standard error of 2 points? n = 5 scores from a population with σ = 20 n = 5 scores from a populatio

Question

Which of the following would produce a standard error of 2 points? n = 5 scores from a population with σ = 20 n = 5 scores from a population with σ = 80 n = 100 scores from a population with σ = 20 n = 100 scores from a population with σ = 40

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Rylee 1 week 2021-10-08T04:05:12+00:00 1 Answer 0

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    2021-10-08T04:06:34+00:00

    Answer:

    n = 100 scores from a population with σ = 20

    Step-by-step explanation:

    The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error, of s = \frac{\sigma}{\sqrt{n}}

    n = 5 scores from a population with σ = 20

    s = \frac{20}{\sqrt{5}} = 8.94

    n = 5 scores from a population with σ = 80

    s = \frac{80}{\sqrt{5}} = 35.78

    n = 100 scores from a population with σ = 20

    s = \frac{20}{\sqrt{100}} = 2.

    This one is the correct answer.

    n = 100 scores from a population with σ = 40

    s = \frac{40}{\sqrt{100}} = 4.

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45:7+7-4:2-5:5*4+35:2 =? ( )