Discussion Questions: 1. in your own words. explain what a sampling distribution. Under what conditions is the sampling distribution of sample mean approximately normal? Under what conditions is the sampling distribution of sample proportion approximately normal? 2. State the Centrai Limit Theorem. 3. Heights of adult females are normally distributed. Samples of heights of adult femaies each of size n I 3, are randomly:I collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as normal distribution because ofthe sample size is too small? Explain. I. In each drawing for the Texas Pick 3 lottery. three digits between D and 9 inclusive are randomly selected. What is the distribution of the selected digits? If the mean is calculated for each drawing. can the distribution of the sample means be treated as a normal distribution