Scores at a local high school on the Algebra 1 Midterm are extremely skewed left with a mean of 65 and a standard deviation of 8. A guidance counselor takes a random sample of 10 students and calculates the mean score, x¯¯¯. (a) Calculate the mean and standard deviation of the sampling distribution of x¯¯¯

(b) Would it be appropriate to use a normal distribution to model the sampling distribution? Justify your answer.