What are the two numbers less than 20 with the most factors
1 answer:
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Answer:
Step-by-step explanation:
Given that sample size = n=45
mu = 64 and sigma =14
a) Sample mean will follow a normal distribution irrespective of the original distributions provided
i) samples are randomly drawn
ii) samples represent the population
iii) Sample size is sufficiently large
b) Here we have sample std dev=
c)
Using the Central Limit Theorem, it is found that these conditions are required to avoid the high variability associated with small samples.
<h3>What does the Central Limit Theorem states?</h3>It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportion is approximately normal with mean and standard deviation
, as long as
and
.
From the equation of the standard error, we could see that if one of the conditions is not respected, the standard error would be very high, indicating a low accuracy of the estimate, hence it is found that these conditions are required to avoid the high variability associated with small samples.
More can be learned about the Central Limit Theorem at brainly.com/question/24663213