Part 1:In 2014, a sample of Habitat for Humanity International (HFHI) local chapters built and donated on average 278 homes with a standard deviation of 82. If "the number of homes built in 2014" was normally distributed:

A.What is the likelihood that a randomly selected HFHI chapter built more than 400 houses?

Z score:_________________

Area (%): _______________

B.What percentage of the HFHI local chapters in the sample built between 150 and 350 houses?

Z scores:_________________

Area (%): _______________

C.What is the cutoff score (number of homes) below which 90 percent of all chapters fell?

Cutoff score: _______________

Part 2.

a.The United States has often adopted an isolationist foreign policy designed to stay out of foreign entanglements (as George Washington advised his fellow citizens more than two hundred years ago). In a 2010 study, 1135 adult respondents from the US were asked whether they agreed that international agreements were a national priority. The data shows that 895 of the 1135 respondents agreed that international agreements were an important national priority. Estimate the proportion of all adult Americans who agreed at the 99% confidence level. Express your estimate in a summary sentence.

b.The average years of school completed for 765 survey respondents in Washington, D.C. was 11.6 with a standard deviation of 3.8. Assume that the results are based on a nationally representative sample. Construct a 95% confidence interval for estimating the average years of school in the population. Express your estimate in a summary sentence.