Using the SATGPA data set in Stat2Data package. Test by using Î±= .05. 1) Create the following...

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Using the SATGPA data set in Stat2Data package. Test by using Î±=.05.
1) Create the following three variables and then print out allthe six variables.
Create a new variable â€œSATâ€, which is the sum of MathSAT andVerbalSAT.
Create second new variable â€œSATLevelâ€, and assign the value ofâ€œSATLevelâ€ as 1 when
SAT<=1100, 2 when1100
SAT>1300.
Create third new variable â€œGPALevelâ€ and assign the value ofâ€œGPALevelâ€ as 1 when
GPA<=2.8, 2 when2.83.5
Print out all the data in the descending order of their GPALeveland the ascending order of
their SAT when GPALevel is thesame.
2) Use the Chi-Square test to conclude if the SATLevel andGPALevel are independent.
3) Compute the mean and variance of â€œGPAâ€ for each level ofâ€œGPALevelâ€, and compute the
correlation matrices for the four variables: MathSAT, VerbalSAT,GPA and SAT.
4) Do the data provide sufficient evidence to indicate that themean of MathSAT is significantly greater
than the mean of VerbalSAT.
5) Test if the proportion of MathSAT greater than VerbalSAT is0.6.

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