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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 $271,600.Assume that the standard deviation 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. OA.The sampling distribution will be approximately uniform. O B.The sampling distribution is skewed to the right,but less skewed to the right than the population. OC.The sampling distribution will be approximately normal. OD.The sampling distribution will depend on the specific sample and will not have a constant shape.

Question

A report announced that the median sales price of new houses sold one year was 231,000,andthemeansalespricewas231,000,and the mean sales price was 271,600.Assume that the standard deviation 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. OA.The sampling distribution will be approximately uniform. O B.The sampling distribution is skewed to the right,but less skewed to the right than the population. OC.The sampling distribution will be approximately normal. OD.The sampling distribution will depend on the specific sample and will not have a constant shape.

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Solution

B. The sampling distribution is skewed to the right, but less skewed to the right than the population.

This is because the mean is greater than the median, which indicates a right skew in the population. When we take samples, the Central Limit Theorem states that the sampling distribution will tend to be more normal than the population, but with a sample size of only 2, the distribution will still be somewhat skewed.

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