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storchak [24]
4 years ago
15

Can someone please answer. There is a picture. There is only one problem. Thank you so much!!!

Mathematics
1 answer:
beks73 [17]4 years ago
4 0
The answer is the last choice
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Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively.
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Answer:

d. 200 and 2

Step-by-step explanation:

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

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Standard error: s = \frac{18}{\sqrt{81}} = 2

So the correct answer is:

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