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Mathematics, 02.04.2021 04:20 russboys3
First question I've asked, hope I did it properly. Thank you in advance for any help. Will mark brainliest.
Over the past month, a garment manufacturer produced 800 dresses. The distribution of the amount of fabric required to make the dresses is not normal.
The average amount of fabric needed to make a dress is 4 yards, with a standard deviation of of a yard. Suppose a series of samples, each containing 180 dresses, are selected from the dresses produced in the past month.
Would it be appropriate to model the distribution of a sample mean with a normal model?
A.
Yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough, regardless of the shape of the population distribution.
B.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a non-normal model because the population distribution is non-normal.
C.
There is not enough information to make assumptions regarding the distribution of the sample mean.
D.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a normal model if the sample size is large enough and the shape of the population distribution is normal.
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