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  1. AP Statistics
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Sampling Distributions

Question 1
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 2
college-boardStatisticsAPExam Style
1 mark

What is the purpose of using a sample in statistics?

Question 3
college-boardStatisticsAPExam Style
1 mark

Given three different populations with unknown means and variances, under which condition would it be inappropriate to use their respective properly calculated standard deviations as estimates for their standard errors when obtaining samples?

Question 4
college-boardStatisticsAPExam Style
1 mark

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

Question 5
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?

Question 6
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 7
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?

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Question 8
college-boardStatisticsAPExam Style
1 mark

What sequence changes occur in the sampling distribution of the sample mean when the population variance is unknown, switching from t-tests to z-tests because of larger sample sizes?

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

Which measure remains unchanged as more samples are taken according to the Central Limit Theorem?