A government bureau would like to estimate the average annual contributions to charity by the members of Generation Y​ (people born in the United States in the years 1981 through​ 1991). The following data show the annual contributions to charity for a random sample of 18 individuals in this age group. Complete parts a and b. $20 ​$750 ​$395 ​$160 ​$200 ​$515   ​$275 ​$410 ​$445 ​$192 ​$455 ​$325   ​$60 ​$560 ​$405 ​$150 ​$650 ​$230     a. Construct  99​% confidence interval with these data to estimate the average annual contributions to charity for this age group. ​The 99​% confidence interval is from $------ to $------ ​(Round to two decimal places as needed. Use ascending​ order.) b. What is the margin of error for this​ sample?

The table below shows the data from a past United States census. Complete parts (a) and (b) below. Connecticut New York Delaware North Carolina Georgia Kentucky Maryland Massachusetts New Hampshire New Jersey 236,841 55,540 70,835 68,705 278,514 475,327 141,822 179,570 Pennsylvania Rhode Island South Carolina Vermont Virginia Total THE 331,589 353,523 432,879 68,446 206,236 85,533 630,560 3,615,920 a. Find the standard divisor if 90 seats are allowed in Congress. (Round to two decimal places as needed.) b. Find the standard quota for Vermont. (Type an integer or decimal rounded to two decimal places as needed.)

Student Debt. The Association of American Universities published a report titled “Looking More Closely at Student Debt.” This report explores the issue about the cost of a college education and its impact on student loan debt. Using information from a credit reporting company, the following table provides a percentage distribution for the loan balance of outstanding student loans from individuals with graduate, professional, and undergraduate degree debt.   Loan balance Percentage $1–$10,000 43.1 $10,001–$25,000 29.2 $25,001–$50,000 16.5 $50,001–$75,000 5.8 $75,001–$100,000   2.3 $100,001 or more 3.1     Suppose that one of these individuals is selected at random. a. Without using the general addition rule, determine the probability that the individual obtained has a loan balance either between $10,001 and $100,000, inclusive, or at most $75,000. b. Obtain the probability in part (a) by using the general addition rule. c. Which method…

Car manufacturers produced a variety of classic cars that continue to increase in value. Suppose the following data is based upon the Martin Rating System for Collectible Cars, and shows the rarity rating (1-20) and the high price ($1,000) for 15 classic cars. Model Rating Price ($1,000) A 18 1,600.0 B 17 450.0 19 3,975.0 15 77.5 18 350.0 17 140.0 16 125.0 16 250.0 14 87.0 19 1,300.0 16 375.0 19 2,650.0 13 45.0 17 375.0 18 1,000.0 00 с D E LL F G H I J L M N O