A report announced that the median sales price of new houses sold one year was $231,000, and the mean sales price was $272,200. Assume that the...

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A report announced that the median sales price of new houses sold one year was $231,000, and the mean sales price was $272,200. Assume that the standarddeviation of the prices is $90,000. 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 is skewed to the right, but less skewed to the right than the population.O B. The sampling distribution will be approximately uniform.O C. The sampling distribution will be approximately normal.O D. The sampling distribution will depend on the specific sample and will not have a constant shape(b)If you select samples of n - 100, describe the shape of the sampling distribution of X.Choose the correct answer below.O A. The sampling distribution is skewed to the right, but lessed skew to the right than the population.O B. The sampling distribution will be approximately uniform.O C. The sampling distribution will be approximately normal.O D. The sampling distribution will depend on the specific sample and will not have a constant shape(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.)(d)If you select a random sample of n = 100, what is the probability that the sample mean will be between $280,000 and $295,000?The probability that the sample mean will be be between $280.0DO and $295,000 is(Round to four decimal places as needed.)Click to select your answer(s).?