Bunuel
The table below provides data for selected states at the end of 2003, detailing estimated population and the number of postal facilities categorized into post offices, classified stations and branches, and contract stations and branches.
| State | Population | Post Offices | Classified Stations & Branches | Contract Stations & Branches |
|---|
| Alaska | 626,932 | 184 | 34 | 79 |
| Alabama | 4,447,100 | 558 | 83 | 34 |
| Arkansas | 2,673,400 | 582 | 57 | 35 |
| Arizona | 5,130,632 | 198 | 97 | 147 |
| California | 33,871,648 | 1,056 | 721 | 351 |
| Colorado | 4,301,261 | 381 | 88 | 64 |
| Connecticut | 3,405,565 | 233 | 91 | 26 |
| Delaware | 783,600 | 53 | 17 | 4 |
| Florida | 15,982,378 | 457 | 377 | 271 |
| Georgia | 8,186,453 | 606 | 153 | 72 |
| Hawaii | 1,211,537 | 72 | 32 | 21 |
| Iowa | 2,926,324 | 892 | 34 | 112 |
| Idaho | 1,293,593 | 226 | 19 | 37 |
| Illinois | 12,419,293 | 1,225 | 190 | 96 |
| Indiana | 6,080,485 | 716 | 77 | 64 |
For each of the following statements, select
True if the information in the table accurately supports the statement. Otherwise, select
Not true.
Official Solution: Statement 1: The state with the highest population is California, which has 1,056 + 721 + 351 ≈ 2,100 postal facilities. The only state that comes close is Illinois, with 1,225 + 190 + 96 ≈ 1,500 postal facilities, which is still fewer than California. Therefore, this statement is True.
Statement 2: Sorting by Post Offices, we can see that the state with the fewest total postal facilities is Delaware, with 53 + 17 + 4 = 74 postal facilities (it has the smallest number of facilities in each category). The population of Delaware is 783,600, giving an average of 783,600/74 ≈ 11,000 people per postal facility.
We need to check whether this is the lowest number among all other states. Sort by population and check the ratio of population to postal facilities. Already, the first one, Alaska, the least populous state, has approximately 626,932/(184 + 34 + 79) ≈ 626,932/300 ≈ 2,000 people per postal facility, which is lower than Delaware’s ratio. Therefore, this statement is False.
Statement 3: For this statement, we need to check whether
all states with a less than 1:1 ratio of post offices to other postal facilities—meaning states with fewer post offices than other postal facilities—had a population of more than 15 million people. To verify, we sort the states by population and examine those with less than 15 million people to determine if they had fewer post offices than other postal facilities.
We can see that Arizona, with a population of about 5 million, has approximately 200 post offices and a total of 250 other postal facilities. Therefore, there is at least one state, Arizona, with a less than 1:1 ratio of post offices to other postal facilities combined that does not have a population of more than 15 million people. Therefore, this statement is false.
Correct answer: The state with the highest population also had the greatest total number of postal facilities.
"True"The state with the fewest total postal facilities also had the lowest average number of people per postal facility.
"Not true"Each state with a less than 1:1 ratio of post offices to other postal facilities combined had a population of more than 15 million people.
"Not true"