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?(1 point)
Responses
Yes, because the manager asked everyone who entered the meat aisle.
Yes, because the manager asked everyone who entered the meat aisle.
No, because not all people who enter the meat aisle use coupons.
No, because not all people who enter the meat aisle use coupons.
Yes, because the sample contains coupon users and non-users.
Yes, because the sample contains coupon users and non-users.
No, because the sample is not chosen randomly.
No, because the sample is not chosen randomly.
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?(1 point)
Responses
testing the last 4,000 bulbs in the production line
testing the last 4,000 bulbs in the production line
testing every fiftieth light bulb in the production line
testing every fiftieth light bulb in the production line
retesting 100 light bulbs that have already been tested
retesting 100 light bulbs that have already been tested
testing the first 2,000 light bulbs in the production line
testing every fiftieth light bulb in the production line
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?(1 point)
In this scenario, 4% (2 out of 50) of the colored pencils selected were unsharpened. We can use this percentage to estimate the number of unsharpened colored pencils in the entire basket.
If 4% of the 300 colored pencils in the basket are unsharpened, we can calculate:
(4/100) * 300 = 12
Therefore, we would expect around 12 of the 300 colored pencils in the basket to be unsharpened.
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.
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?
To estimate the number of students in the school who prefer animated movies based on the sample data, we can set up a proportion with the sample data and the total number of students in the school.
Number of students who prefer animated movies in the sample: 48
Total number of students in the school: 628
Let x be the unknown number of students who prefer animated movies in the entire school.
We can set up the proportion:
48 / 120 = x / 628
Solving for x:
48 * 628 = 120x
30144 = 120x
x = 251.2
Therefore, based on the sample data, approximately 251 students in the school prefer animated movies.
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.
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?
Using the sample data, we can estimate the number of students in the school who prefer orange sherbet by setting up a proportion.
Number of students who prefer orange sherbet in the sample: 10
Total number of students in the school: 528
Let x be the unknown number of students who prefer orange sherbet in the entire school.
We can set up the proportion:
10 / 130 = x / 528
Solving for x:
10 * 528 = 130x
5280 = 130x
x = 40.62
Therefore, based on Pablo's sample data, approximately 41 students in the school prefer orange sherbet.