What is the probability that two different students doing this project get exactly the same random samples?
statistics
Description
a) Now, in this project, each student selects a random sample of size1000 from 6414 observations. What is the probability that two different students doing this project get exactly the same random samples? After answering this part, I would make sure to do the project myself and not just copy the results from someone else! (4 Points)
b) Describe the variables Gender, Academic Status, Region of Living and Place of Living using appropriate descriptive statistics (graphs and numerical summaries). Write a report (one short type-written paragraph for each variable) to describe your observations. (12 Points)
c) We often hear that GPA of female students are higher than GPA of male students. Make a comparison of the variable GPA between male and female students using boxplots, numerical summaries and appropriate statistical hypotheses. For statistical hypotheses, you must make a statement about the population mean GPA of male and female students. Write a report (at least two type-written paragraphs, one on the graphs and the numerical summaries and the other one on the hypothesis testing) to describe your observations. Your report should contain testable hypotheses and a conclusion in the context of the problem. (10 Points)
d) We suspect that average hours of study between male and female students are different. Investigate this statement using an appropriate confidence interval. If you find significant difference, which group do you believe they study more? Support your belief with an appropriate statistical hypothesis. Write a report (at one type-written paragraph), to describe your observations. (10 Points)
e) It is known that more than 70% of AUS students are from non GCC origin. Do the data support this claim? Explain. (5 Points)
f) I used to hear my mum saying: “my son, the more you study the higher your GPA”.
Use this data set in order to investigate this claim. Hint: Test whether Hours of Study
and GPA are positively correlated. Write your conclusion
