Topic 5 DQ 1 - Under what circumstances is a t statistic used instead of a z-score in a hypothesis PDF

Preview

Summary

Under what circumstances is a t statistic used instead of a z-score in a hypothesis test? Give an example of both a t statistic and z-score....

Description

Topic 5 DQ 1 The first problem we confront in analyzing data is determining the appropriate statistical test. Under what circumstances is a t statistic used instead of a z-score in a hypothesis test? Give an example of both a t statistic and z-score. In statistics, the t-test is a type of statistic that allows the comparison between a sample mean and population mean. It establishes how significant are the means of the two groups. (Gravetter, et al, 2021). The t-test is used instead of the z-score when the population standard deviation and the variance are unspecified from the data. It is also appropriate to use the t-test when the size of the sample is small, which is equal to or less than 30. For example, in a study, a researcher wants to know how the reaction time is affected by alcohol. So, when performing the effects of alcohol on people reaction-time, the t-test can be used to measure their reaction when they are drunk and when they are not. The Z-test allows the research to compare whether two population means are different. It must be used when the standard deviation is known and the sample is greater than 30. (Meena, 2020). As an example, a study wants to determine in our class if men score an average of 10 more than women. The standard deviation of both men and women are disclosed and the sample size is 30 men and 30 women. In this case, the z test must be used instead of a ttest to make this comparison.

Gravetter, F. J., Wallnau, L. B., Forzano, L. B., & Witnauer, J. E. (2021). Essentials of statistics for the behavioral sciences (10th ed.). Cengage. ISBN-13: 9780357035528 Meena, Subhash. Hypothesis Testing: Difference between z-Test and t-Test. Analytics Vidhya, 23 Dec. 2020, www.analyticsvidhya.com/blog/2020/06/statistics-analytics-hypothesis-testingz-test-t-test....