sample size=100 and reported the following results: regression coefficient for Drug A=1.82

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(sample size=100) and reported the following results: regression coefficient for Drug A=1.82 and regression coefficient of Drug B=0.24.

They want to test whether the joint effect of drug A and drug B is equal to 2 with regard to enhancing cognitive ability among patients who have brain surgery.

They also reported variance of regression coefficient of drug A (0.31), variance of regression coefficient of drug B (0.23), and covariance of two regression coefficients of drug A and drug B (-0.015).

(1) Formulate the null hypothesis.

H0:

(2) What is L (linear combination of regression coefficients)? L=

(3) Test statistic= T=

Note: Var(aX+bY)=a2*Var(X)+b2*Var(Y) + 2*a*b*cov(X,Y)

 

(4) What is your decision? (note: critical value=t100-2-1, 0.975=1.98)

 Then they want to test whether the effect of drug A is equal to that of drug B with regard to enhancing cognitive ability among patients who have brain surgery.

(5) Formulate the null hypothesis.

H0:

(6) What is L (linear combination of regression coefficients)?

(7) Test statistic= T=

(8) What is your decision? (note: critical value=t100-2-1, 0.975=1.98)

 

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