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  1. AP Statistics
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Sampling Distributions

Question 1
college-boardStatisticsAPExam Style
1 mark

In hypothesis testing using z-scores where sigma is known and when increasing alpha from .01 to .05 while keeping everything else constant, how does this change affect our decision rule regarding whether or not we reject H0?

Question 2
college-boardStatisticsAPExam Style
1 mark

What does a large sample size allow us to do?

Question 3
college-boardStatisticsAPExam Style
1 mark

What happens to standard error as you increase your sample size?

Question 4
college-boardStatisticsAPExam Style
1 mark

What is the purpose of using a sample in statistics?

Question 5
college-boardStatisticsAPExam Style
1 mark

If a population has a mean μ and standard deviation σ, what will be true for a sampling distribution of xˉ\bar{x}xˉ with a sufficiently large sample size?

Question 6
college-boardStatisticsAPExam Style
1 mark

The Central Limit Theorem is applicable to both _ and _ data.

Question 7
college-boardStatisticsAPExam Style
1 mark

When comparing standard deviations of two different means calculated from samples of sizes n1n_1n1​ and n2n_2n2​ where n1<n2n_1 < n_2n1​<n2​, in which scenario will these standard deviations be equal given both samples are from the same population?

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Question 8
college-boardStatisticsAPExam Style
1 mark

When conducting a significance test from a skewed distribution with n=30n = 30n=30, how does increasing variability affect Type II error rates if all other factors remain constant?

Question 9
college-boardStatisticsAPExam Style
1 mark

Where is the Central Limit Theorem generally tested on the AP Statistics exam?

Question 10
college-boardStatisticsAPExam Style
1 mark

How can researchers reduce variability within their samples when performing stratified sampling?