Table 2: The firm Economics is hired to analyze the SAT scores of incoming CSULB students. They collect two independent random samples of data on incoming CSULB students for males and females, with summary statistics reported below: Sample 1 Sample 2 SAT scores for Males (x) SAT scores for Females (x) HI 1270 1350 21.2 18.4 40 40 8.30 2. Refer to Table 2 (25 pts): (a) Is there sufficient evidence to conclude that there is a difference between the SAT scores for males and females? Round everything to two decimal places and answer in terms of the questions. (b) Estimate with 95% confidence the differences between average SAT scores for the two samples. Round everything to two decimal places and answer in terms of the questions. 3. Refer to Table 2 (25 pts): (a] Looking only at incoming female students, is there enough evidence to conclude that the variance of their SAT scores is less than 10? Round everything to two decimal places and answer in terms of the questions. (b) Estimate with 95%% confidence the variance of SAT scores given by females. Round everything to two decimal places and answer in terms of the questions. 4. Answer the following questions to the best of your ability. This is the easiest 10 points you will receive. (10 pts) [a) What is one thing you can take away from the lecture portion of this course? [b) How can I improve this course