A report announced that the median sales price of new houses sold one year was $231,000, and the mean sales price was $274,500. Assume that the standard deviation of the prices is $80,000. Complete parts (a) through (d) below. (a) If you select samples of n = 2, describe the shape of the sampling distribution of X. Choose the correct answer below. O A. The sampling distribution will depend on the specific sample and will not have a constant shape. B. The sampling distribution is skewed to the right, but less skewed to the right than the population. O C. The sampling distribution will be approximately normal. O D. The sampling distribution will be approximately uniform. (b ) If you select samples of n = 100, describe the shape of the sampling distribution of X. Choose the correct answer below. A. The sampling distribution will be approximately normal. O B. The sampling distribution will depend on the specific sample and will not have a constant shape. O C. The sampling distribution is skewed to the right, but lessed skew to the right than the population. O D. The sampling distribution will be approximately uniform. (c) If you select a random sample of n = 100, what is the probability that the sample mean will be less than $300,000? The probability that the sample mean will be less than $300,000 is. (Round to four decimal places as needed.)