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 SAT scores for Males (x1)	Sample 2 SAT scores for Females (x2)
xi	1270	1350
si2	21.2	18.4
ni	40	40
sp2	8.30

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.

Refer to Table 2 (25 pts):

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.

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.