Methods of Research – Descriptive Statistics Assignment

Political Science
Tutor: None Selected Time limit: 1 Day

 

Mean

Standard Deviation

Men

10.3

7.8

Women

11.9

8.2

 

a. Interpret the statistics, making sure to compare and contrast the two groups.

 

b. Which group is higher? Can we be sure? Explain.

Oct 3rd, 2015

Hi Bodine, thank you for the opportunity to help you with your question!

a. For two groups, 'men' and 'women', we are provided the mean value of a certain measure, say X, and its standard deviation. Women show a higher mean value of X than men and also a greater deviation (or dispersion) around the mean value.

b. Although it might appear that given the data, women have higher value of X than men, we cannot be completely sure if that is the case. Certainty, in statistical terms, implies performing tests e.g. a 2 samples t-test which examines the hypothesis that the mean value of X is significantly different for men compared to women. 

In order to be absolutely certain, one would need to know all the values of X for the two groups and then perform a 2 samples t-test and check for the p-value. If p < 0.05, then we can be confident in saying that the mean values of X are indeed statistically different for men vs. women.

I hope this helps. Feel free to ask me any further questions.

Cheers.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 17th, 2015

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