A researcher takes a simple random sample of 83 homes in a city and finds that the mean square footage is 1628 with a standard deviation of 243 square feet. Which interval is the 90% confidence interval for the mean square footage of all the homes in that city?

ANSWER:

(1584 ft2, 1672 ft2)

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.