AnswersNC-Math 4Sampling Distributions – Center and Variability

Sampling Distributions – Center and Variability Answers

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1
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Which explanations are justified based on the evidence you obtained? Check all that apply.

A
It is possible that the population mean is 3.53, but the sample result is greater than that due to sampling variability.
B
It is possible that the school administrator made a mistake, and the population mean is greater than 3.53.
C
The fact that the sample mean is greater than the claimed population mean proves that the average GPA of the senior class is greater than 3.53
D
The sample mean of 3.70 cannot be correct because the claimed population mean is 3.53.
E
The population mean of 3.53 cannot be correct because the calculated sample mean is 3.70.
2
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0✔ 0.250.50.75

A
0
B
✔ 0.25
C
0.5
D
0.75
3

✔ yesno

A
✔ yes
B
no
169911

18,000✔ 18,75019,25019,500

A
18,000
B
✔ 18,750
C
19,250
D
19,500
169912

18,000✔ 18,75019,25019,500

A
18,000
B
✔ 18,750
C
19,250
D
19,500
169913

✔ yesno

A
✔ yes
B
no
169914

15,000✔ 16,83318,75022,000

A
15,000
B
✔ 16,833
C
18,750
D
22,000
169915

✔ 15,00016,83318,75022,000

A
✔ 15,000
B
16,833
C
18,750
D
22,000
169916

yes✔ no

A
yes
B
✔ no
169920

Question text not available

Answers:
The sampling distribution of has bias and variability.:low
The sampling distribution of has bias and variability.:low
169921

high✔ low

A
high
B
✔ low
169922

There is one dot at 3.45. What does that value represent?

A
In one simulated SRS of 100 students, the average GPA was = 3.45.
Option A
B
In one simulated SRS of 100 students, the population mean GPA was = 3.45.
Option B
C
There is a 1 out of 100 chance that the population mean GPA is = 3.45.
Option C
D
A majority of the sample of 100 students had a GPA of = 3.45.
Option D
169923

0✔ 0.250.50.75

A
0
B
✔ 0.25
C
0.5
D
0.75
169924

What happens to the standard deviation of the sampling distribution as the sample size increases?

A
It increases.
B
It decreases.
C
It stays the same.
D
It may increase or decrease depending on the size of the population.
169925

If a pollster wants to increase their ability to predict the outcome of an election, one thing they can do is increase the size of the sample. By doing so:

A
nonresponse will be eliminated.
B
the results of the sample will be unbiased.
C
the variability of the sample results will be reduced, giving greater precision in the estimate.
D
the pollster can be certain that he can correctly predict the outcome of the election.
169926

high✔ low

Answers:
The sampling distribution of has bias and variability.:low
The sampling distribution of has bias and variability.:low

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