Question
The general rule for the use of the Central Limit Theorem to reasonably assume that
is normally distributed
When the distribution of
is unknown or known to be skewed is for sample sizes greater than or equal to 30.
False
True
ONLY If false, change the underlined portion by putting the correct answer here (leave blank if true):
When the distribution of
False
True
ONLY If false, change the underlined portion by putting the correct answer here (leave blank if true):
Ask by Hampton Rose. in the United States
Nov 10,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The general rule for the use of the Central Limit Theorem is true when the distribution of
is unknown or known to be skewed, and sample sizes are greater than or equal to 30.
- simplify answer:
The rule is true for sample sizes of 30 or more.
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The Deep Dive
True! The Central Limit Theorem states that as the sample size increases, the sampling distribution of the sample mean
will approach a normal distribution, regardless of the shape of the original distribution of
. Typically, a sample size of 30 or more is considered adequate for this approximation to hold, particularly when dealing with skewed distributions.
However, if the underlying population distribution is normal, even smaller sample sizes can yield a normally distributed
. So, if your population is perfectly normal, you could work with just a few samples and still be golden!