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Unit test
Problem
Here are two different samples drawn from two different populations:
Two dot plots show the distributions of two samples. For each sample, the number line has a scale from 0 to 100 in increments of 10. For sample A, n = 11. The distribution is right skewed between 70 and 100, with outliers at 0 and 10. For sample B, n = 14. The distribution is right skewed between 0 and 100.
Which sample satisfies the normal condition for constructing a ttt interval?

Sagot :

Using the Central Limit Theorem, it is found that none of the samples satisfy the normal condition.

What does the Central Limit Theorem state?

It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as at least one of these following conditions is respected.

  • The underlying distribution is normal.
  • The sample size is greater than 30.

In this problem, the underlying distributions are skewed, and both sample sizes are less than 30, hence none of the samples satisfy the normal condition.

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

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Answer:

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