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?
(1 point)
Responses
110
110
41
41
45
45
195
To find the approximate number of students in the school who prefer orange sherbet, we can use the proportion of students who prefer orange sherbet in the survey sample to the total number of students.
First, we calculate the proportion of students who prefer orange sherbet in the sample: 10/130 = 0.0769.
Then, we multiply this proportion by the total number of students in the school: 0.0769 * 528 = 40.615.
Rounding to the nearest whole number, we can estimate that approximately 41 students in the school prefer orange sherbet.
Therefore, the closest option is 41.
here 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?
(1 point)
Responses
52
52
141
141
251
251
125
To find the approximate number of students in the school who prefer animated movies, we can use the proportion of students who prefer animated movies in the survey sample to the total number of students.
First, we calculate the proportion of students who prefer animated movies in the sample: 48/120 = 0.4.
Then, we multiply this proportion by the total number of students in the school: 0.4 * 628 = 251.2.
Rounding to the nearest whole number, we can estimate that approximately 251 students in the school prefer animated movies.
Therefore, the closest option is 251.
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)
Responses
12
12
120
120
2
2
20
20
To find the expected number of unsharpened colored pencils in the basket, we can use the proportion of unsharpened pencils in the sample to the total number of colored pencils.
First, we calculate the proportion of unsharpened pencils in the sample: 2/50 = 0.04.
Then, we multiply this proportion by the total number of colored pencils in the basket: 0.04 * 300 = 12.
Therefore, we would expect approximately 12 colored pencils to be unsharpened in the basket.
So, the closest option is 12.
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
testing the first 2,000 light bulbs in the production line
testing the first 2,000 light bulbs in the production line
retesting 100 light bulbs that have already been tested
The most likely sampling method that would lead to a valid inference is "testing every fiftieth light bulb in the production line".
This sampling method ensures that a random and representative sample is chosen from the production line. By selecting every fiftieth light bulb, it helps to minimize bias and provides an equal opportunity for every bulb in the production line to be included in the sample.
The other options such as testing the last 4,000 bulbs, testing the first 2,000 bulbs, or retesting 100 light bulbs that have already been tested may introduce bias and may not be representative of the entire production line.
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.
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.
No, because not all people who enter the meat aisle use coupons.
No, the sampling method the store manager used does not support a valid inference.
Although the store manager surveyed everyone who entered the meat aisle, this sampling method is not random and may introduce bias. It only captures data from a specific group of shoppers who enter the meat aisle, which may not be representative of the entire store or all shoppers who use coupons.
To have a valid inference, a random sampling method should be used to ensure that every shopper has an equal chance of being included in the sample.