Solve each problem - Dentists, pizzeria, and ad agency inference questions

Sep 30, 2026

Inference practice problems using small samples. A dentist compares boys vs. girls cavity counts across multiple samples and must decide what can be concluded. A pizzeria owner evaluates survey results for favorite meats (Pepperoni, Sausage, Ham) to determine which meat to stock most. An ad agency compares customer preferences among red, green, and blue packaging using sample polling results and asks what can be inferred from the observed differences.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Problem 1: Dentists - boys vs girls with cavities

Problem 2: Pizzeria - which meat to stock most

Problem 3: Ad agency - which packaging color is liked best

Solve each problem. 1) A dentists was trying to determine if more boys or girls had cavities. He checked the visits from the last month and his results are shown below: |
Sample \# |
1 |
2 |
3 | |
4 |
5 |
6 |
7 |
8 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | |
Boys | 4 | 5 | | 4 | 2 | 2 | 2 | 3 | 3 | |
Girls | 4 | 2 | | 4 | 2 | 2 | 3 | 2 | 6 | Based on the information presented what can you infer about who had cavities? Based on the information presented and the small samples gathered it is impossible to make any meaningful assumptions. 2) A pizzeria owner was trying to determine which types of meat he should stock the most of for his new store. To do this he asked several pizza eaters what their favorite toppings were. His results are shown below: |
Sample \# |
1 |
2 |
3 |
4 |
5 |
6 | | --- | --- | --- | --- | --- | --- | --- | |
Pepperoni | 40 | 38 | 38 | 42 | 38 | 41 | |
Sausage | 30 | 30 | 34 | 34 | 32 | 31 | |
Ham | 25 | 26 | 24 | 26 | 20 | 26 | Based on the information presented what can you infer about which type of meat he should stock? Based on the information presented he should stock more Pepperoni than Sausage or Ham. 3) An ad agency was trying to determine if customers liked blue, green or red packaging better. To do this they took a sample of customers and polled them. The results are shown below: |
Sample \# |
1 |
2 |
3 |
4 |
5 |
6 | | --- | --- | --- | --- | --- | --- | --- | |
Red | 52 | 48 | 52 | 48 | 49 | 49 | |
Green | 49 | 52 | 52 | 49 | 48 | 50 | |
Blue | 51 | 48 | 50 | 51 | 50 | 50 | Based on the information presented can you infer anything about which color is liked the best? Because of the very small discrepancy in the quantities it is unlikely any deduction can be made about the color customers liked. Solve each problem. 1) A dentists was trying to determine if more boys or girls had cavities. He checked the visits from the last month and his results are shown below: |
Sample \# |
1 |
2 |
3 | |
4 |
5 |
6 |
7 |
8 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | |
Boys | 4 | 5 | | 4 | 2 | 2 | 2 | 3 | 3 | |
Girls | 4 | 2 | | 4 | 2 | 2 | 3 | 2 | 6 | Based on the information presented what can you infer about who had cavities? Based on the information presented and the small samples gathered it is impossible to make any meaningful assumptions. 2) A pizzeria owner was trying to determine which types of meat he should stock the most of for his new store. To do this he asked several pizza eaters what their favorite toppings were. His results are shown below: |
Sample \# |
1 |
2 |
3 |
4 |
5 |
6 | | --- | --- | --- | --- | --- | --- | --- | |
Pepperoni | 40 | 38 | 38 | 42 | 38 | 41 | |
Sausage | 30 | 30 | 34 | 34 | 32 | 31 | |
Ham | 25 | 26 | 24 | 26 | 20 | 26 | Based on the information presented what can you infer about which type of meat he should stock? Based on the information presented he should stock more Pepperoni than Sausage or Ham. 3) An ad agency was trying to determine if customers liked blue, green or red packaging better. To do this they took a sample of customers and polled them. The results are shown below: |
Sample \# |
1 |
2 |
3 |
4 |
5 |
6 | | --- | --- | --- | --- | --- | --- | --- | |
Red | 52 | 48 | 52 | 48 | 49 | 49 | |
Green | 49 | 52 | 52 | 49 | 48 | 50 | |
Blue | 51 | 48 | 50 | 51 | 50 | 50 | Based on the information presented can you infer anything about which color is liked the best? Because of the very small discrepancy in the quantities it is unlikely any deduction can be made about the color customers liked. Solve each problem. 1) A dentists was trying to determine if more boys or girls had cavities. He checked the visits from the last month an

FAQs

What can be inferred from the cavity data about boys vs girls?

Based on the information presented and the small samples gathered, it is impossible to make meaningful assumptions about who had cavities.

Which meat type should the pizzeria owner stock the most?

The pizzeria owner should stock more Pepperoni than Sausage or Ham according to the provided sample results.

Can the ad agency determine which packaging color is liked best?

The discrepancy among the sample quantities is very small, so it is unlikely any strong deduction can be made about which color customers liked best.

Sep 30, 2026

Uploaded by Alexandar