Question
Math quick check, 1 correct answer per question.
1. A store manager wants to know the percentage of shoppers who use coupons. He surveys everyone who enters the meat aisle. He finds that 60 percent of shoppers use coupons. Does the sampling method the store manager used support a valid inference?
a. Yes, because the sample contains coupon users and non-users.
b. Yes, because the manager asked everyone who entered the meat aisle.
c. No, because the sample is not chosen randomly.
d. No, because not all people who enter the meat aisle use coupons.
2. A quality control manager wants to determine the percentage of defective light bulbs in the production line. Which of the following sampling methods would most likely lead to a valid inference?
a. testing the first 2,000 light bulbs in the production line
b. retesting 100 light bulbs that have already been tested
c. testing the last 4,000 bulbs in the production line
d. testing every fiftieth light bulb in the production line
3. Avery randomly selects 50 colored pencils from a basket and finds that 2 are not sharpened. If the basket contains 300 colored pencils, how many would you expect to be unsharpened?
*Hint: Write a proportion*
a. 2
b. 12
c. 20
d. 100
4. There are 628 students in Tan’s high school. Tan surveys 120 randomly chosen students about their favorite movie genre. The results are as follows.
This table presents the number of students who prefer each movie genre based on a survey.
Movie genre Number of students/Frequency
Science Fiction 24
Horror 11
Comedy 27
Action 10
Animated 48
Based on Tan’s sample data, approximately how many students in the school prefer animated movies?
a. 125
b. 141
c. 52
d. 251
5. There are 528 students in Pablo’s high school. Pablo surveys 130 randomly chosen students about their favorite ice cream flavor. The results are as follows.
This table presents the number of students who prefer each ice cream flavor based on a survey.
Ice cream flavor Number of students/Frequency
Strawberry 29
Butter Pecan 31
Chocolate 43
Orange Sherbet 10
Vanilla 17
Based on Pablo’s sample data, approximately how many students in the school prefer orange sherbet?
a. 110
b. 195
c. 45
d. 41
1. A store manager wants to know the percentage of shoppers who use coupons. He surveys everyone who enters the meat aisle. He finds that 60 percent of shoppers use coupons. Does the sampling method the store manager used support a valid inference?
a. Yes, because the sample contains coupon users and non-users.
b. Yes, because the manager asked everyone who entered the meat aisle.
c. No, because the sample is not chosen randomly.
d. No, because not all people who enter the meat aisle use coupons.
2. A quality control manager wants to determine the percentage of defective light bulbs in the production line. Which of the following sampling methods would most likely lead to a valid inference?
a. testing the first 2,000 light bulbs in the production line
b. retesting 100 light bulbs that have already been tested
c. testing the last 4,000 bulbs in the production line
d. testing every fiftieth light bulb in the production line
3. Avery randomly selects 50 colored pencils from a basket and finds that 2 are not sharpened. If the basket contains 300 colored pencils, how many would you expect to be unsharpened?
*Hint: Write a proportion*
a. 2
b. 12
c. 20
d. 100
4. There are 628 students in Tan’s high school. Tan surveys 120 randomly chosen students about their favorite movie genre. The results are as follows.
This table presents the number of students who prefer each movie genre based on a survey.
Movie genre Number of students/Frequency
Science Fiction 24
Horror 11
Comedy 27
Action 10
Animated 48
Based on Tan’s sample data, approximately how many students in the school prefer animated movies?
a. 125
b. 141
c. 52
d. 251
5. There are 528 students in Pablo’s high school. Pablo surveys 130 randomly chosen students about their favorite ice cream flavor. The results are as follows.
This table presents the number of students who prefer each ice cream flavor based on a survey.
Ice cream flavor Number of students/Frequency
Strawberry 29
Butter Pecan 31
Chocolate 43
Orange Sherbet 10
Vanilla 17
Based on Pablo’s sample data, approximately how many students in the school prefer orange sherbet?
a. 110
b. 195
c. 45
d. 41
Answers
GPT-4o mini
Here are the correct answers for each question:
1. c. No, because the sample is not chosen randomly.
2. d. testing every fiftieth light bulb in the production line
3. b. 12
4. a. 125
5. a. 110
1. c. No, because the sample is not chosen randomly.
2. d. testing every fiftieth light bulb in the production line
3. b. 12
4. a. 125
5. a. 110