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Elza [17]
3 years ago
14

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
Mathematics
1 answer:
baherus [9]3 years ago
3 0

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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