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AP Statistics: Sampling Distributions Practice Test

September 17, 2020Brajendra Shrivastava

AP Statistics: Sampling Distributions Practice Test

AP Statistics: Sampling Distributions Practice Test

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Question 1 of 19

1. Question
Let us suppose we have population data where the data are distributed Poisson. Which distribution increasingly approximates the sample mean as the sample size increases to infinity?
- Exponential
- Poisson
- Normal
- Gamma
Correct

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Question 2 of 19

2. Question
A researcher wants to determine whether there is a significant linear relationship between time spent meditating and time spent studying. What is the appropriate null hypothesis for this study?
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Question 3 of 19

3. Question
What is the standard deviation of each (and every) sample mean?
- 0.65
- 0.875
- 0.9
- 0.35
- 0.7
Correct

Incorrect
Question 4 of 19

4. Question
The purpose of the t test is to do which of the following?
- Compare the means of separate populations.
- Compare the significance of multiple variables.
- Describe the variance within a population.
- Determine the ability of one variable to predict another.
- Test the relationship between five or more variables.
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Question 5 of 19

5. Question
Y follows a chi-squared distribution with 6 degrees of freedom and X 1 through X n are independent standard normal variables.
- 7
- 4
- 5
- 8
- 6
Correct

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Question 6 of 19

6. Question
The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. What is the mean of the sampling distribution?
- 200
- 16
- 25
- 4
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Question 7 of 19

7. Question
A statistic is an unbiased estimator of a parameter when…
- the statistic is calculated from a random sample.
- in many samples, the values of the statistic are very close to the value of the parameter.
- in a single sample, the value of the statistic is equal to the value of the parameter
- in many samples, the values of the statistic are centered at the value of the parameter.
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Question 8 of 19

8. Question
These symbols represent the mean and standard deviation for which of the following distributions?
- The Population
- The Sample
- The Sampling Distribution
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Question 9 of 19

9. Question
These symbols represent the mean and standard deviation for which of the following distributions?
- The Population
- The Sample
- The Sampling Distribution
Correct

Incorrect
Question 10 of 19

10. Question
In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowel, 56 consonants, and 2 blank tiles in the bag. Cait chooses an SRS of 7 tiles. Let p-hat be the proportion of vowels in her sample. Is the 10% condition met in this case?
- yes
- no
- Not enough info to determine.
Correct

Incorrect
Question 11 of 19

11. Question
The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. What is the mean of the sampling distribution of p-hat?
- 0.4
- 0.44
- 0.56
- 0.6
Correct

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Question 12 of 19

12. Question
The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. Calculate the standard deviation of the sampling distribution. (Check to see if the 10% condition is met first)
- 0.0116
- 0.0117
- 0.0118
- 0.0119
Correct

Incorrect
Question 13 of 19

13. Question
At a particular college, 78% of all students are receiving some kind of financial aid. The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?
- 78% is a population and 72% is a sample
- 72% is a population and 78% is a sample
- 78% is a population and 72% is a static
- 72% is a population and 78% is a sample
Correct

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Question 14 of 19

14. Question
Why do we randomly select our samples?
- for control
- reduce bias
- so we don't get the same answers from everyone
- to eliminate confounding results
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Question 15 of 19

15. Question
The population describes…
- the group of people, objects or events being surveyed.
- part of the group being surveyed.
- the whole world.
- the school
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Question 16 of 19

16. Question
What does this symbol represent?
- population proportion
- parameter
- sample proportion
- population sample
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Question 17 of 19

17. Question
The sampling distribution of a statistic is…
- using repeated samples and finding a probability.
- the distribution of values taken by a statistic in all possible samples of the same sample size from the same population.
- the way that sample results differ from each other.
- the distribution of values in a sample of size n.
Correct

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Question 18 of 19

18. Question
If you had to choose a “best statistic” to describe a population, which of the following would be best?
- low bias, high variability
- high bias, high variability
- low bias, low variability
- high bias, low variability
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Question 19 of 19

19. Question
A statistic is biased if…
- the value of the statistic from any sample is NOT equal to the parameter.
- the value of the statistic from any sample IS equal to the parameter.
- the mean of the sampling distribution is NOT equal to the true value of the parameter.
- The mean of the sampling distribution IS equal to the value.
Correct

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