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Margaret [11]
4 years ago
12

How to solve y squared = 37

Mathematics
1 answer:
astraxan [27]4 years ago
8 0
The answer should be 6.09 or 6.1
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The mean is 47.1 and the standard deviation is 9.5 for a population. Using the Central Limit Theorem, what is the standard devia
MaRussiya [10]

Answer:

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes 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.

Standard deviation is 9.5 for a population.

This means that \sigma = 9.5

Sample of 60:

This means that n = 60

What is the standard deviation of the distribution of sample means for samples of size 60?

s = \frac{\sigma}{\sqrt{n}} = \frac{9.5}{\sqrt{60}} = 1.2264

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

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3 years ago
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