AP Statistics Unit 5 Review

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution, as long as the sample size is sufficiently large (usually n ≥ 30).

Front

Define the mean of a sampling distribution.

Back

Front

What is the standard deviation of a sampling distribution?

Back

Front

What does a 95% confidence interval represent?

Back

A 95% confidence interval means that if we were to take many samples and build a confidence interval from each sample, approximately 95% of those intervals would contain the true population parameter.

Front

How do you calculate the margin of error for a confidence interval?

Back

Front

What is the formula for the standard deviation of a sample proportion?

Back

Front

What is a Simple Random Sample (SRS)?

Back

A Simple Random Sample (SRS) is a sampling method where each member of the population has an equal chance of being selected, ensuring that the sample is representative of the population.

Front

Explain the concept of hypothesis testing.

Back

Hypothesis testing is a statistical method used to make decisions about a population based on sample data. It involves formulating a null hypothesis and an alternative hypothesis, then using sample data to determine whether to reject the null hypothesis.

Front

What is the difference between Type I and Type II errors?

Back

A Type I error occurs when the null hypothesis is rejected when it is actually true (false positive). A Type II error occurs when the null hypothesis is not rejected when it is actually false (false negative).

Front

Define the term 'p-value'.

Back

The p-value is the probability of obtaining a test statistic at least as extreme as the one observed, assuming that the null hypothesis is true. A low p-value indicates strong evidence against the null hypothesis.