Students are debating among themselves about the relative performance of male and female students at the faculty of economics and  business. Sarah Smith believes that female students outperform male students in economics courses. In order to prove her point, she collected data on students’ results in economics courses in the last year.

Sarah collected economics course results for 160 male and 272 female students. Male students had an average score of 83 and standard deviation of 5 and female students had an average score of 84 and standard deviation of 7.

a. Conduct a hypothesis test and determine if Sarah is right in her claim that on average female students performed better in economics courses compared to men. Use a significance level of 0.1.

b. Describe any additional assumptions required to validate the results of the hypothesis test in part a.

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Economics as an academic discipline is hotly contested Some economists claim we need to rip it up and start again others point to huge changes that have been made in what is taught in universities and ... View the full answer