BSB123 - Data Analysis - Statistics Assignment Help

Assignment Task

GRE Scores

Globally the mean GRE score is 306 with a standard deviation of 11. Global Education Services (GES) believes that international students are a special group when it comes to GRE. Whereas every US student interested in entering graduate programs will undertake the GRE, International students are more selective because they have to pay for applications and hence they need to be more confident about their results. As such GES is of the opinion that international students are likely to have a better performance on the GES and a more consistent one.

1. Describe in detail the GRE results for international students using appropriate numerical and graphical methods.

2. Conduct a test to determine if the average GRE result for international students is higher than the global mean of 306.

3. Conduct at test to see if the consistency of international students on the GRE is better than the global average – i.e. the variance is lower.

4. It is reasonable to expect that performance on the GRE and the Chance of Admission would be related to each other. Construct a graph relating GRE and Chance of Admission and calculate an approriate statistic to help describe the relationship between the two variables. Briefly describe the relationship.

5. Based on Questions 1. to 4. briefly indicate if you believe GES’s opinion of International Student performance on the GRE is correct including the reason why.

Projects

As countries have moved to increase the number of students undertaking Bachelor Degree programs pressure has come on many institutions to reduce or remove the major research project requirement for students at undergraduate level.

6. Construct a 95% confidence interval for the proportion of universities which now require a major research project for graduation. If 60% of universities used to require a research project what does this imply about the proposition that institutions are removing the research requirement.

7. Conduct a test at the 5% level of significance to see if the proportion of universities requiring projects has fallen.

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