AP Statistics Review

Front

What is the expected number of heads when a fair coin is tossed 2000 times?

Back

1000 heads (since the probability of heads is 0.5, 0.5 * 2000 = 1000).

Front

What does the critical value t* represent in statistics?

Back

The critical value t* is the value that separates the most extreme 10% of the t distribution from the rest, used in hypothesis testing.

Front

If a die is loaded so that the number 6 comes up three times as often as any other number, what is the probability of rolling a 1 or a 6?

Back

1/2 (since the probability of rolling a 6 is 3 times that of rolling a 1, the total probability for 1 or 6 is 1/2).

Front

What is the most important condition for using t procedures?

Back

The data can be regarded as a random sample from the population.

Front

What does it mean to fail to reject H₀ in hypothesis testing?

Back

It means that there is not enough evidence to support the alternative hypothesis Hₐ.

Front

What is a confidence interval?

Back

A confidence interval is a range of values that is likely to contain the population parameter with a certain level of confidence.

Front

What is the significance level (α) in hypothesis testing?

Back

The significance level (α) is the probability of rejecting the null hypothesis when it is actually true.

Front

What is the difference between a population and a sample?

Back

A population includes all members of a specified group, while a sample is a subset of the population.

Front

What does it mean for a distribution to be approximately Normal?

Back

It means that the distribution follows a bell-shaped curve, where most of the data points cluster around the mean.

Front

What is the purpose of a hypothesis test?

Back

The purpose of a hypothesis test is to determine whether there is enough evidence to reject a null hypothesis.