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Jobisdone [24]
2 years ago
7

An exam consists of 50 multiple choice questions. Based on how much you studied, for

Mathematics
1 answer:
Ann [662]2 years ago
5 0

Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.

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

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}, as long as np \geq 10 and n(1 - p) \geq 10.

In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:

\mu = p = 0.7

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648

More can be learned about the Central Limit Theorem at brainly.com/question/24663213

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