Question 8

Do female students tend to score better in SATs than male students? To investigate this claim, a group of researchers studied a sample of 400 students who gave their SATs in 2018. The table below summarizes the findings by this groups regarding the SAT scores.

n Mean Standard deviation

Male 150 1100 25.4

Female 250 1020 26.2

1.(4 pts) What are the explanatory and response variables and their types? (categorical or quantitative)

2.(2 pts) Write down the parameter of interest in words.

3.(2 pts) Write down the null and alternative hypothesis for the given research question in symbols.

4.(2 pts) Calculate the observed statistic (Observed Difference).

5.(4 pts) Calculate and the 95% confidence interval (multiplier for this is 2).

6.(2 pts) Interpret the above obtained confidence interval.