For a sample of 36 houses what would you expect the distribu

For a sample of 36 houses, what would you expect the distribution of the sale prices to be? A real-estate agent has been assigned 10 houses at random to sell this month. She wants to know whether the mean price of those houses is typical. What, if anything, does she need to assume about the distribution of prices to be able to use the Central Limit Theorem? Are those assumptions reasonable? Prices tend to be about the same in any given area, so the distribution is probably uniform. What assumptions, if any, need to be made to be able to use the Central Limit Theorem? Select all that apply. The prices must be assumed to be randomly selected. The prices must be assumed to be independent. The distribution of prices must be assumed to be not too skewed and without outliers. No assumptions are needed. Are the assumptions reasonable? Select all that apply. It is not reasonable to assume the houses are randomly selected. It is not reasonable to assume that there are no outliers. It is not reasonable to assume the prices are independent. No assumptions are needed.

Solution

a) In order to use the Central limiting theorem, the samples must be taken randomly, the samples entries taken must be independent and the distribution must not be too skewed,

Thus First three options are correct

b)

Following the above logic

Fourth option is correct