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. O A. Yes; the sample size must be over 30 for the sample means to be normally distributed. O B. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size. O C. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size. O D. No; as long as more than 30 samples are collected, the sample means will be normally distributed.

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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.
O A. Yes; the sample size must be over 30 for the sample means to be normally distributed.
B. No; the original population is normally distributed, so the sample means will be normally distributed for any
sample size.
C. No; the samples are collected randomly, so the sample means will be normally distributed for any sample
size.
D. No; as long as more than 30 samples are collected, the sample means will be normally distributed.
Transcribed Image Text: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. O A. Yes; the sample size must be over 30 for the sample means to be normally distributed. B. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size. C. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size. D. No; as long as more than 30 samples are collected, the sample means will be normally distributed.
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