AP Stats: Chapter 7 Review

Front

What is the mean of the sampling distribution if the population mean is 200?

Back

200

Front

What is the standard deviation of the sampling distribution if the population standard deviation is 20 and the sample size is 25?

Back

4 (calculated as 20/sqrt(25))

Front

What is the probability of selecting one data value less than 190 if the population mean is 200 and standard deviation is 20?

Back

31% (using the Z-score formula)

Front

How does increasing the sample size affect the variability of estimates in an opinion poll?

Back

It reduces the variability of the estimates.

Front

In the context of statistics, what is the difference between a parameter and a statistic?

Back

A parameter is a value that describes a population, while a statistic describes a sample.

Front

If 78% of students at a college receive financial aid, what is this percentage considered?

Back

A parameter.

Front

If a random sample of 100 students shows that 72% receive financial aid, what is this percentage considered?

Back

A statistic.

Front

What is the probability of selecting 25 data values with a mean less than 190 if the population mean is 200 and standard deviation is 20?

Back

0.6% (using the Central Limit Theorem)

Front

What is the Central Limit Theorem?

Back

It states that the sampling distribution of the sample mean will be normally distributed if the sample size is sufficiently large.

Front

What is the formula for calculating the Z-score?

Back

Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.