Statistical Hypothesis Testing Concepts

This tutorial covers methods for comparing two population means, including independent and dependent samples. It explains when to use z-tests and t-tests, and how to formulate null and alternative hypotheses for both independent and dependent samples. The video demonstrates conducting a hypothesis test using Excel, focusing on testing if full-time students study more than part-time students. It guides through the steps of using Excel for statistical analysis and interpreting the results, concluding that there is not enough evidence to support the alternative hypothesis.

What type of test is used when comparing two independent samples with known population variances?

• z-test

• Chi-square test

• t-test

• F-test

When the population variances are unknown, which test is appropriate for independent samples?

• ANOVA

• F-test

• t-test

• z-test

What is the null hypothesis for a two-tailed test comparing two independent means?

• The means are not equal

• The means are equal

• The means are greater than zero

• The means are less than zero

In a one-tailed test, what does the alternative hypothesis state for a right-tailed test?

• The means are not equal

• The first mean is less than the second mean

• The first mean is greater than the second mean

• The means are equal

For dependent samples, what test is conducted?

• Matched-pairs t-test

• z-test

• Independent t-test

• ANOVA

What is the null hypothesis for a two-tailed test in dependent samples?

• The mean difference is not equal to zero

• The mean difference is equal to zero

• The mean difference is greater than zero

• The mean difference is less than zero

In the practical example, what is being compared between full-time and part-time students?

• Their test scores

• Their attendance

• Their study time

• Their grades

What type of test is used in the example comparing study times of full-time and part-time students?

• ANOVA

• Independent t-test

• z-test

• Matched-pairs t-test

In the example, what is the null hypothesis regarding the study times of full-time and part-time students?

• Part-time students study more

• There is no difference in study times

• Full-time students study less

• Full-time students study more

What software is used to conduct the hypothesis test in the example?

• SPSS

• Python

• Excel

• R