Sampling Distribution Center and Variability

Sampling Distribution Center and Variability

12th Grade

18 Qs

quiz-placeholder

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Sampling Distribution Center and Variability

Sampling Distribution Center and Variability

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Anthony Clark

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18 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Do you favor a law banning lawn mowing after 8 pm? Suppose that 35% of all citizens favor the law. If we took a very large number of SRSs of size n = 250 from this population, the sampling distribution of the sample proportion [p hat] would have which of the following characteristics?

Mean = 0.35

SD = 0.0009

Shape: unknown

Mean = 0.35

SD = 0.0009

Shape: Approx. Normal

Mean = 0.35

SD = 0.022

Shape: unknown

Mean = 0.35

SD = 0.022

Shape: Approx. Normal

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following best describes a sampling distribution?

...a random sample of values of a sample statistic found in less than 10% of simulated samples of size n from the population

...values taken by a statistic in all possible samples of the same size from the same population

...parameter values in all possible samples of size n

...all values in a single random sample selected from the population

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

...is approximately normal with mean 60 and standard deviation 10

is approximately normal with mean 60 and standard deviation 2

has an unknown shape with mean 60 and standard deviation 1.414

...has an unknown shape with mean 60 and standard deviation 2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At a high school, 29% of students are freshmen. Let (p-hat) = the proportion of students that are freshmen in a random sample of 25 students from the school. Which of the following statements about the mean and standard deviation of the sampling distribution of (p-hat) is true?

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Do you favor a law banning lawn mowing after 8 pm? If 35% of all citizens favor the law, and we take a very large number of SRSs of an increased size n = 600 rather than n = 150 from this population, how would it affect the estimate?

reduce the bias of the estimate

increase the bias of the estimate

reduce the variability of the estimate

increase the variability of the estimate

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The figures below show approximate sampling distributions of 4 different statistics intended to estimate the same parameter. The true value of the parameter is 12. Which statistic has the smallest bias and the smallest variability?

Media Image
Media Image
Media Image
Media Image

7.

OPEN ENDED QUESTION

1 min • 3 pts

The basketball team has four players who can play the center position. Their heights (in inches) are 78, 80, 77, and 80.

List all 6 possible SRSs of size n = 2, calculate the mean height for each sample.

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