Final Exam Review 1 STATS

Front

What do the symbols \( \mu \) and \( \sigma \) represent in statistics?

Back

\( \mu \) represents the population mean, and \( \sigma \) represents the population standard deviation.

Front

What is the difference between a parameter and a statistic?

Back

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

Front

What is the correct symbol for the sample mean?

Back

The symbol for the sample mean is \( \bar{x} \).

Front

What does the correlation coefficient (R) indicate?

Back

The correlation coefficient indicates the strength and direction of a linear relationship between two variables.

Front

What is the null hypothesis in hypothesis testing?

Back

The null hypothesis is a statement that there is no effect or no difference, and it is the hypothesis that researchers aim to test against.

Front

What is a p-value in hypothesis testing?

Back

A p-value is the probability of obtaining test results at least as extreme as the observed results, assuming that the null hypothesis is true.

Front

What does a confidence interval represent?

Back

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

Front

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

Back

Type I error occurs when the null hypothesis is rejected when it is true, while Type II error occurs when the null hypothesis is not rejected when it is false.

Front

What is the purpose of a t-test?

Back

A t-test is used to determine if there is a significant difference between the means of two groups.

Front

What does the term 'sampling distribution' refer to?

Back

The sampling distribution is the probability distribution of a statistic (like the sample mean) obtained from a large number of samples drawn from a specific population.