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In 1999, nearly all households in Country X purchased salty snacks. About 91% of households bought potato chips, purchasing an average of 9.8 pounds and spending roughly $26 over the year. A broader category—all chips (including potato, corn, and tortilla)—was purchased by 95.5% of households, with average annual purchases of 16.3 pounds. Other salty snacks, such as pretzels, cheese puffs, microwave popcorn, and packaged or bulk nuts, were purchased by 96.8% of households.
Considering all salty snacks, 99.2% of households made purchases in 1999. Among those who did, the average household bought 31.8 pounds and spent approximately $76.40. On a per-person basis, the average quantity purchased was 14.5 pounds.
Three key points emerge:
• Salty snack consumption was nearly universal, so almost all households would have been affected by a per-pound tax.
• Purchase quantities and spending varied systematically by household characteristics and demographics.
• Despite this variation, salty snacks represented a relatively small portion of household spending.
Considering all salty snacks, 99.2% of households made purchases in 1999. Among those who did, the average household bought 31.8 pounds and spent approximately $76.40. On a per-person basis, the average quantity purchased was 14.5 pounds.
Three key points emerge:
• Salty snack consumption was nearly universal, so almost all households would have been affected by a per-pound tax.
• Purchase quantities and spending varied systematically by household characteristics and demographics.
• Despite this variation, salty snacks represented a relatively small portion of household spending.
30 cents per pound: Fewer
35 cents per pound: Fewer
45 cents per pound: More
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
66% (03:44) correct
34%
(03:40)
wrong
based on 146
sessions
History
Date
Time
Result
Not Attempted Yet
In Country X, where there are 50 million households, the government is evaluating a per-pound tax on all salty snacks. Based on the information provided, and assuming that the quantity of salty snacks purchased remains unchanged, select Fewer if the total revenue generated by the listed tax rate would be expected to be less than $600 million. Otherwise, select More.
| Fewer | More | |
| 30 cents per pound | ||
| 35 cents per pound | ||
| 45 cents per pound |
ShowHide Answer
Official Answer
30 cents per pound: Fewer
35 cents per pound: Fewer
45 cents per pound: More
There were approximately two people per household in 1999.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
57% (01:26) correct
43%
(01:27)
wrong
based on 222
sessions
History
Date
Time
Result
Not Attempted Yet
Based on the information provided, which of the following is most reasonably inferred?
| In 1999, more households purchased potato chips than any other individual type of chip. | |
| Pretzels and microwave popcorn were less popular than potato chips in 1999. | |
| Pretzels and microwave popcorn were more popular than potato chips in 1999. | |
| There were approximately two people per household in 1999. | |
| Taxes on salty snacks were more popular than other food taxes in 1999. |
ShowHide Answer
Official Answer
There were approximately two people per household in 1999.
Each household that purchased salty snacks in 1999 purchased more than 1 pound.: Not Supported
Approximately one-fifth of all households consumed 10 pounds or fewer of salty snacks in 1999.: Supported
The median range of salty snack consumption is approximately 70 pounds greater than the modal range of salty snack consumption.: Not Supported
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
58% (02:47) correct
42%
(02:15)
wrong
based on 206
sessions
History
Date
Time
Result
Not Attempted Yet
For each of the following, select Supported if it is a statistical statement supported by the information in Tab 2. Otherwise, select Not supported.
| Supported | Not Supported | |
| Each household that purchased salty snacks in 1999 purchased more than 1 pound. | ||
| Approximately one-fifth of all households consumed 10 pounds or fewer of salty snacks in 1999. | ||
| The median range of salty snack consumption is approximately 70 pounds greater than the modal range of salty snack consumption. |
ShowHide Answer
Official Answer
Each household that purchased salty snacks in 1999 purchased more than 1 pound.: Not Supported
Approximately one-fifth of all households consumed 10 pounds or fewer of salty snacks in 1999.: Supported
The median range of salty snack consumption is approximately 70 pounds greater than the modal range of salty snack consumption.: Not Supported
Attachment:
I08-08new (1).png [ 127.27 KiB | Viewed 2739 times ]
30 Apr 2025, 01:00
Kudos
Bookmarks
Official Solution:
• Each household that purchased salty snacks in 1999 purchased more than 1 pound.
The histogram shows that some households fall into the 0–2 pound range. While we don’t know the exact breakdown within that bar, it's entirely possible that some households purchased 1 pound or less. Not supported.
• Approximately one-fifth of all households consumed 10 pounds or fewer of salty snacks in 1999.
The bars covering 0–10 pounds (from the second to the sixth bars) collectively account for close to 20% of all households, based on the percentages shown in the histogram. Supported.
• The median range of salty snack consumption is approximately 70 pounds greater than the modal range of salty snack consumption.
As stated in Tab 2, the modal range is 10–12 pounds. The median represents the midpoint of the distribution—where 50% of households purchased less and 50% purchased more. A median that is approximately 70 pounds higher than the modal range would place the median around 80 pounds, which would mean that 50% of households purchased less than 80 pounds and 50% more than 80 pounds. This is clearly incorrect, as the graph shows that far fewer households purchased more than 80 pounds than purchased less. Not supported.
Correct answer:
Each household that purchased salty snacks in 1999 purchased more than 1 pound. "Not supported"
Approximately one-fifth of all households consumed 10 pounds or fewer of salty snacks in 1999. "Supported"
The median range of salty snack consumption is approximately 70 pounds greater than the modal range of salty snack consumption. "Not supported"
Bunuel
• Each household that purchased salty snacks in 1999 purchased more than 1 pound.
The histogram shows that some households fall into the 0–2 pound range. While we don’t know the exact breakdown within that bar, it's entirely possible that some households purchased 1 pound or less. Not supported.
• Approximately one-fifth of all households consumed 10 pounds or fewer of salty snacks in 1999.
The bars covering 0–10 pounds (from the second to the sixth bars) collectively account for close to 20% of all households, based on the percentages shown in the histogram. Supported.
• The median range of salty snack consumption is approximately 70 pounds greater than the modal range of salty snack consumption.
As stated in Tab 2, the modal range is 10–12 pounds. The median represents the midpoint of the distribution—where 50% of households purchased less and 50% purchased more. A median that is approximately 70 pounds higher than the modal range would place the median around 80 pounds, which would mean that 50% of households purchased less than 80 pounds and 50% more than 80 pounds. This is clearly incorrect, as the graph shows that far fewer households purchased more than 80 pounds than purchased less. Not supported.
Correct answer:
Each household that purchased salty snacks in 1999 purchased more than 1 pound. "Not supported"
Approximately one-fifth of all households consumed 10 pounds or fewer of salty snacks in 1999. "Supported"
The median range of salty snack consumption is approximately 70 pounds greater than the modal range of salty snack consumption. "Not supported"
28 Apr 2025, 01:00
Kudos
Bookmarks
Official Solution:
We are given tax rates per pound, so each rate should be applied directly to the total pounds of salty snacks purchased.
According to the data, 99.2% of households in Country X purchased salty snacks. For estimation, we can round this to 100%, meaning all 50 million households are included. Each household purchased an average of 31.81 pounds, which we can reasonably approximate to 30 pounds for easier calculation. This gives a total of about 1.5 billion pounds of salty snacks purchased.
Start with the middle tax rate. At 35 cents per pound, the estimated revenue would be 1.5 billion × 0.35, which equals $525 million. This is clearly less than $600 million.
Since 25 cents per pound is lower, it would also generate less than $600 million, and no further calculation is necessary.
The 45-cent rate is more than 20 percent higher than 35 cents, so it would generate over 20 percent more than $525 million—easily exceeding $600 million.
Correct answer:
30 cents per pound "Fewer"
35 cents per pound "Fewer"
45 cents per pound "More"
Bunuel
We are given tax rates per pound, so each rate should be applied directly to the total pounds of salty snacks purchased.
According to the data, 99.2% of households in Country X purchased salty snacks. For estimation, we can round this to 100%, meaning all 50 million households are included. Each household purchased an average of 31.81 pounds, which we can reasonably approximate to 30 pounds for easier calculation. This gives a total of about 1.5 billion pounds of salty snacks purchased.
Start with the middle tax rate. At 35 cents per pound, the estimated revenue would be 1.5 billion × 0.35, which equals $525 million. This is clearly less than $600 million.
Since 25 cents per pound is lower, it would also generate less than $600 million, and no further calculation is necessary.
The 45-cent rate is more than 20 percent higher than 35 cents, so it would generate over 20 percent more than $525 million—easily exceeding $600 million.
Correct answer:
30 cents per pound "Fewer"
35 cents per pound "Fewer"
45 cents per pound "More"
