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inna [77]
3 years ago
12

Determine

Mathematics
1 answer:
Luden [163]3 years ago
7 0

Answer:

\mu_{x} = 64, \sigma_{x} = 12.83

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 of at least 30 can be approximated to a normal distribution with mean \mu_{x} = \mu and standard deviation \sigma_{x} = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 64, \sigma = 77, n = 36

So

\mu_{x} = 64, \sigma_{x} = \frac{77}{\sqrt{36}} = 12.83

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