1. The data below is the city gas mileage for a sampleof hybrid cars, as reported by the Environmental Protection Agencyin 2007.

30, 36, 33, 27, 31, 25, 28, 31, 45 mpg

Construct and interpret a 95% confidence interval forthe population mean for the miles per gallon of hybrids. You mayassume that the population of gas mileage normally distributed withno outliers. Answer the following:                      

a What is the level of confidence?                         

b. What is your final numeric answer?   

c. . Using the information from the previous question,what is your final answer in the context of the problem in acomplete sentence.

2. In August 2003, it was reported that many employedadults in the U.S. agreed that basic mathematical skills were veryimportant to their job. A job placement advisor wants to estimatethis proportion so she takes a random sample of 500 employed adultsand finds 320 of the feel that basic mathematics skills are veryimportant to their job.   Find a 99% confidence intervalfor the population proportion of those who reported that mathskills were very important to their job.  

a. What is the level of confidence?
b. What critical value would you need to use with thisformula?
c. What is your final numeric answer?   

d. Using the information from the previous question,what is your final answer in the context of the problem in acomplete sentence