Question: 71 The real estate asses or for a county government wants to study various characteristics of single-fatal houses in the county. A random sample of 70 house reveals the following:

• Heated area of the houses (in square feet): \(\bar{X}\) = 1,759, s= 380.

• 42 houses have central lair-conditioning.

a. Construct a 99% confidence interval estimate of the population mean heated area of the houses.

b. Construct a 95% confidence interval estimate of the population proportion of houses that have central air-conditioning.