7
QuizMultiple Choice

Statistical Inferences — Quiz

Question 7 • Algebra II

Which of the following conditions must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population?

Answer
A
n is greater than or equal to 30
B
line segment x is greater than or equal to 30
C
cap n is greater than or equal to 30
D
mu is greater than or equal to 30

Explanation

When the population is not normally distributed, a common condition for statistical inference about its mean is that the sample size is at least 30. This lets the Central Limit Theorem make the sampling distribution of the sample mean approximately normal. The correct choice is “cap n is greater than or equal to 30,” where cap n denotes the sample size.

AI-written and checked against the verified answer.

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