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Likurg_2 [28]
3 years ago
13

What is the value of x?​

Mathematics
1 answer:
Assoli18 [71]3 years ago
5 0
It’s 35 degrees since you do 180-125 to get 35. :)
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Using the Empirical Rule and the Central Limit Theorem, we have that:

  • About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
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<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

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<h3>What does the Central Limit Theorem state?</h3>

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the standard deviation of the distribution of sample means is:

s = \frac{0.657}{\sqrt{50}} = 0.09

68% of the means are within 1 standard deviation of the mean, hence the bounds are:

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99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:

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More can be learned about the Empirical Rule at brainly.com/question/24537145

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