Use the table to answer the question.
Sample Students in the Sample Number Who Walk to School
1 25 6
2 25 8
3 25 7
4 25 2
5 25 5For a class project, you take five different samples of students and ask them whether they walk to school. The data is consolidated in the preceding table. Which of the following correctly shows the variability in the sample proportions (p^)?(1 point)
Responses
Sample Students in the Sample Number Who Walk to School (p^)
1 25 6 0.12
2 25 8 0.16
3 25 7 0.14
4 25 2 0.04
5 25 5 0.10 Sample Students in the Sample Number Who Walk to School left parenthesis p-hat right parenthesis 1 25 6 0.12 2 25 8 0.16 3 25 7 0.14 4 25 2 0.04 5 25 5 0.10
Sample Students in the Sample Number Who Walk to School (p^)
1 25 6 0.06
2 25 8 0.08
3 25 7 0.07
4 25 2 0.02
5 25 5 0.05 Sample Students in the Sample Number Who Walk to School left parenthesis p-hat right parenthesis 1 25 6 0.06 2 25 8 0.08 3 25 7 0.07 4 25 2 0.02 5 25 5 0.05
Sample Students in the Sample Number Who Walk to School (p^)
1 25 6 0.18
2 25 8 0.24
3 25 7 0.21
4 25 2 0.06
5 25 5 0.20 Sample Students in the Sample Number Who Walk to School left parenthesis p-hat right parenthesis 1 25 6 0.18 2 25 8 0.24 3 25 7 0.21 4 25 2 0.06 5 25 5 0.20
Sample Students in the Sample Number Who Walk to School (p^)
1 25 6 0.24
2 25 8 0.32
3 25 7 0.28
4 25 2 0.04
5 25 5 0.20
Use the table to answer the question.
Sample
Number
Total Students
in the Class
Number of Students
with at Least 1 Pet
1 19 11
2 22 12
3 17 11
4 18 09
Ja’Niyah surveyed four different classes at her school to determine how many students had at least one pet at home. The preceding table summarizes the survey data. In which sample did the greatest proportion of students have a pet?
(1 point)
Responses
sample number 1
sample number 1
sample number 2
sample number 2
sample number 3
sample number 3
sample number 4
Use the table to answer the question.
Sample Number Sample Proportion
1 0.54
2 0.35
3 0.57
4 0.6
5 0.56
6 0.59
7 0.51
8 0.49
9 0.41
10 0.3
Which histogram represents a sample distribution of the given sample proportions?
(1 point)
Responses
A histogram is titled Sampling Distributions of Sample Proportions of a Population.
Image with alt text: A histogram is titled Sampling Distributions of Sample Proportions of a Population.
A histogram is titled Sampling Distributions of Sample Proportions of a Population.
Image with alt text: A histogram is titled Sampling Distributions of Sample Proportions of a Population.
A histogram is titled Sampling Distributions of Sample Proportions of a Population.
Image with alt text: A histogram is titled Sampling Distributions of Sample Proportions of a Population.
A histogram is titled Sampling Distributions of Sample Proportions of a Population.
Image with alt text: A histogram is titled Sampling Distributions of Sample Proportions of a Population.
Use the image to answer the question.
A histogram is titled Sampling Distributions of Sample Proportions of a Population.
Which of the following frequency tables corresponds to the histogram?
(1 point)
Responses
Sample Number Sample Proportion
1 0.8
2 0.78
3 0.78
4 0.86
5 0.56
6 0.47
7 0.86
8 0.69
9 0.53
10 0.62Sample Number Sample Proportion 1 0.8 2 0.78 3 0.78 4 0.86 5 0.56 6 0.47 7 0.86 8 0.69 9 0.53 10 0.62
Sample Number Sample Proportion
1 0.8
2 0.78
3 0.78
4 0.86
5 0.89
6 0.47
7 0.86
8 0.69
9 0.53
10 0.62Sample Number Sample Proportion 1 0.8 2 0.78 3 0.78 4 0.86 5 0.89 6 0.47 7 0.86 8 0.69 9 0.53 10 0.62
Sample Number Sample Proportion
1 0.8
2 0.78
3 0.78
4 0.86
5 0.89
6 0.47
7 0.86
8 0.69
9 0.53
10 0.92Sample Number Sample Proportion 1 0.8 2 0.78 3 0.78 4 0.86 5 0.89 6 0.47 7 0.86 8 0.69 9 0.53 10 0.92
Sample Number Sample Proportion
1 0.8
2 0.78
3 0.78
4 0.86
5 0.89
6 0.47
7 0.36
8 0.69
9 0.53
10 0.62Sample Number Sample Proportion 1 0.8 2 0.78 3 0.78 4 0.86 5 0.89 6 0.47 7 0.36 8 0.69 9 0.53 10 0.62
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Which of the following statements do you recognize as being false as n, in a sampling distribution, increases?(1 point)
Responses
The range of the data becomes larger as n increases.
The range of the data becomes larger as n increases.
The distribution or shape of the data becomes more symmetric as n increases.
The distribution or shape of the data becomes more symmetric as n increases.
As n increases, the data centers more around the population proportion.
As n increases, the data centers more around the population proportion.
The variability of the data becomes smaller as n gets larger.
The following statement is false:
The range of the data becomes larger as n increases.
When n, the sample size, increases in a sampling distribution, the variability or range of the data usually decreases rather than increases. So, the statement that the range of the data becomes larger as n increases is false.
Sample Students in the Sample Number Who Walk to School (p^)
1 25 6 0.12
2 25 8 0.16
3 25 7 0.14
4 25 2 0.04
5 25 5 0.10