Refer to the data given in Exercise 13.98 on the living area (in square feet) and price (in thousands of dollars) of 10 randomly selected houses listed for sale in a city. Construct a 98% confidence interval for the mean price of all houses with living areas of 2400 square feet. Construct a 98% prediction interval for the price of a randomly selected house with a living area of 2400 square feet.

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Living area 3008 2032 2272 1840 2579 2583 1650 3932 2978 2176 Price 275 220 255 189 260 84172 370 295 260