Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever​ dogs, each of size n=​15, are randomly collected and the sample means are found. Is it correct to...


Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever​ dogs, each of size n=​15, are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too​ small? Explain.



Choose the correct answer below.







A.


​Yes; the sample size must be over 30 for the sample means to be normally distributed.






B.


​No; as long as more than 30 samples are​ collected, the sample means will be normally distributed.






C.


​No; the samples are collected​ randomly, so the sample means will be normally distributed for any sample size.






D.


​No; the original population is normally​ distributed, so the sample means will be normally distributed for any sample size.






Jun 09, 2022
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