The following histogram shows the distribution of 1000 sample observations from a population with a mean of u=4 and a variance of o = 8. 10 Suppose a simple random sample of 100 observations is to be...

Extracted text: The following histogram shows the distribution of 1000 sample observations from a population with a mean of u=4 and a variance of o = 8. 10 Suppose a simple random sample of 100 observations is to be selected from the population and the sample average x is calculated. Which of the following statements about the distribution of is/are FALSE? A) The distribution of x will have a mean of 4. B) The distribution x will be approximately Normal. C) Because the distribution shown in the histogram above is clearly skewed to the right, the shape of the distribution of x will also show skewness to the right. D) Even though the distribution of the population variable appears to be skewed to the right, the distribution of x will be approximately symmetric around u= 4. E) The standard deviation of the distribution of x will be 0.283.