Weights of golden retriever dogs are normally distributed. Sample of weight 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 can’t be treated as being from a normal distribution because the sample size is too small? Explain

1. Yes; the sample size must be over 30 for the sample means to be normally distributed.
2. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size.
3. No; as long as more than 30 samples are collected, the sample means will be normally distributed.
4. No; the samples are collected randomly; so the sample means will be normally distributed for any sample size