Suppose the distribution of the daily calcium intake of Americans is left skewed with a mean of 800 mg and a standard deviation of 16 mg. What can we say about the sampling distribution of distribution X?a. The mean of the sampling distribution of X is 800.b.The standard deviation of the sampling distribution of X is 16.c.The value of every sample mean is 800The sampling distribution of X will be approximately normal regardless of sample size.

Answer:a. The mean of the sampling distribution of X is 800.Step-by-step explanation:Central Limit TheoremThe Central Limit Theorem estabilishes that, for a random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], a large sample size of the sampling distribution can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].So, the correct answer isa. The mean of the sampling distribution of X is 800.