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2a. State a single question related to a categorical variable that can be answer

ID: 3202269 • Letter: 2

Question

2a. State a single question related to a categorical variable that can be answered using your survey data and the techniques you have studied thus far in this course. You are encouraged to develop your own question, but you may use an appropriate question from the StatCrunch website. The question you use should be about the entire population of StatCrunch U students—not just about those in the sample. Assume that your sample is representative of the population.

b. Explain the methodology you will use to answer the question you posed. Your explanation should include answers to the following questions. Do not include your analysis or answers to your question here—only describe how you will do the analysis.

What is the variable of interest?

What graphical techniques will you use to describe your data?

Why are those techniques appropriate for analyzing this data?

Explanation / Answer

2a. You have 2 samples. 1st trained with GMAT coaching. The second not. The question is: Does GMAT coaching chnage the average score on GMAT?

b.

Methodology:

You have divided the entire sample into 2 equal groups of people who are coached in GMAT and who aren't.

You have 2 compare the means of the 2 groups. BUt first you ensure that both have same variances within samples. ( this can be tested using Levene' test for equal variance)

The variable of interest will be the ultimate average score on the real GMAT for both the sample ( coached and uncoached)

Visualization:

Graphical techniques: Boxplot - to check the distribution,

Normal disrtibution plots - - to check the distribution,

Line graphs- to visualize differences in means of the 2 samples.

Technique

You will use the t-test , an independent samples t-test used when you want to compare the means of a normally distributed interval dependent variable for two independent groups.

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