The sampling distribution of the mean

7-1 : Understand the main characteristics of the sampling distribution of the mean.

7-2: Understand the difference between a standard deviation and a standard error.: :

Inferential statistics:  Testing one sample mean (s known)

7-3: Understand, in testing one mean, what is implied by the null and alternative hypotheses.

7-4: Understand why non-directional (two-tailed) rather than directional (one-tailed) alternative hypotheses are predominantly used in research studies.

7-5: Understand under what conditions one would calculate the population standard error of the mean rather than the standard error of the mean.

7-6: Calculate and interpret, in testing one sample mean (s known), the population standard error of the mean () and the z-test for one mean.

7-7: Understand the differences between interpreting a statistic that is “significant”, “nonsignificant”, and “insignificant”.

7-8: Understand what is implied by “p < .05”, “p < .01”, and “p > .05”.

7-9: Understand what information about a statistical analysis is typically included when communicating the results of the analysis.

Introduction to the t distribution

7-10: Understand the main characteristics of the Student t distribution.

7-11: Understand why there is a different distribution of t-statistics for different sample sizes.

Inferential statistics:  Testing one sample mean (s not known)

7-12: Identify under what situations you would conduct the z-test for one mean or the t-test for one mean.

7-13: Define degrees of freedom (df) and identify in what situations degrees of freedom (df) are calculated.

7-14: Understand differences between the population standard error of the mean and the standard error of the mean.

7-15: Calculate and interpret, in testing one sample mean (s not known), the degrees of freedom, standard error of the mean (), and the t-statistic (t).

Factors influencing the decision about the null hypothesis

7-16: Understand two ways sample size affects the decision about the null hypothesis in testing the t-statistic.

7-17: Understand the relationship between alpha (a) and the decision about the null hypothesis.

7-18: Understand why it is necessary to determine whether to use a one-tailed or two-tailed alternative hypothesis before conducting a statistical analysis rather than after.