A random variable is normally distributed. It has a mean of 231 and a standard deviation of 27. If you take a sample of size 13, can you say what the shape of the sampling distribution for the sample mean is? Why? ? If the sample size is 13, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30. ? If the sample size is 13, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30. ? If the sample size is 13, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. For a sample of size 13, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. ?x? = ? ?x? = ? For a sample of size 13, find the probability that the sample mean is more than 223. P(x? > 223) = ? If you take a sample of size 37, can you say what the shape of the distribution of the sample mean is? Why? ? If the sample size is 37, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. ? If the sample size is 37, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30. ? If the sample size is 37, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30. For a sample of size 37, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. ?x? = ? ?x? = ? For a sample of size 37, find the probability that the sample mean is more than 223. P(x? > 223) =
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- Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed regardless of the sample size. Therefore, the correct answer is: - If the sample size is 13, then you can say the sampling distribution Show moreā¦
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A random variable X is normally distributed. It has a mean of 239 and a standard deviation of 23. List the givens with correct symbols: Ī¼ = 239 Ļ = 23 a) If you take a sample of size 11, can you say what the shape of the sampling distribution for the sample mean is? Why or why not? Check all that apply. n is less than 30 population is not normal Ļ is unknown Ļ is known n is at least 30 population is normal b) For a sample of size 11, state the mean and the standard deviation of the sampling distribution of the sample mean. mean of the sampling distribution of the sample mean when n = 11: standard deviation of the sampling distribution of the sample mean when n = 11: Round final answer to two decimal places
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