Based on the proportion of defective watches in the sample (3 out of 400), we can calculate the expected number of defective watches in the total population of 10,500 watches.
First, calculate the proportion of defective watches in the sample:
3 defective watches / 400 total watches = 0.0075
Then, multiply this proportion by the total number of watches:
0.0075 * 10,500 = 78.75
Therefore, you would expect approximately 79 watches to be defective out of the total 10,500 watches based on this sample data.
In a random sample of 400 watches, 3 are defective. Out of a total of 10,500 watches, how many would you expect to be defective based on this sample data? (1 point)
7 answers
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)
Based on the proportion of unsharpened colored pencils in the sample (2 out of 50), we can calculate the expected number of unsharpened colored pencils in the total population of 300 colored pencils.
First, calculate the proportion of unsharpened colored pencils in the sample:
2 unsharpened colored pencils / 50 total colored pencils = 0.04
Then, multiply this proportion by the total number of colored pencils:
0.04 * 300 = 12
Therefore, you would expect approximately 12 colored pencils to be unsharpened out of the total 300 colored pencils based on this sample data.
First, calculate the proportion of unsharpened colored pencils in the sample:
2 unsharpened colored pencils / 50 total colored pencils = 0.04
Then, multiply this proportion by the total number of colored pencils:
0.04 * 300 = 12
Therefore, you would expect approximately 12 colored pencils to be unsharpened out of the total 300 colored pencils based on this sample data.
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?
(1 point)
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)
To determine the approximate number of students in the school who prefer animated movies based on Tan's sample data, we can calculate the proportion of students who prefer animated movies in the sample and then extrapolate it to the total number of students in the school.
Number of students who prefer animated movies in the sample: 48
Total number of students surveyed in the sample: 120
Proportion of students who prefer animated movies in the sample:
48 students who prefer animated / 120 total students surveyed = 0.4
Approximate number of students in the school who prefer animated movies:
0.4 * 628 total students in the school = 251.2
Therefore, approximately 251 students in the school would prefer animated movies based on Tan's sample data.
Number of students who prefer animated movies in the sample: 48
Total number of students surveyed in the sample: 120
Proportion of students who prefer animated movies in the sample:
48 students who prefer animated / 120 total students surveyed = 0.4
Approximate number of students in the school who prefer animated movies:
0.4 * 628 total students in the school = 251.2
Therefore, approximately 251 students in the school would prefer animated movies based on Tan's sample data.
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)
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)
To determine the approximate number of students in the school who prefer orange sherbet based on Pablo's sample data, we can calculate the proportion of students who prefer orange sherbet in the sample and then extrapolate it to the total number of students in the school.
Number of students who prefer orange sherbet in the sample: 10
Total number of students surveyed in the sample: 130
Proportion of students who prefer orange sherbet in the sample:
10 students who prefer orange sherbet / 130 total students surveyed ≈ 0.0769
Approximate number of students in the school who prefer orange sherbet:
0.0769 * 528 total students in the school ≈ 40.62
Therefore, approximately 41 students in the school would prefer orange sherbet based on Pablo's sample data.
Number of students who prefer orange sherbet in the sample: 10
Total number of students surveyed in the sample: 130
Proportion of students who prefer orange sherbet in the sample:
10 students who prefer orange sherbet / 130 total students surveyed ≈ 0.0769
Approximate number of students in the school who prefer orange sherbet:
0.0769 * 528 total students in the school ≈ 40.62
Therefore, approximately 41 students in the school would prefer orange sherbet based on Pablo's sample data.
1 answer