Question

1. True or False (No explanation needed :D) - For a two-tailed test using z values at the .05% significance level we reject H0 if z < -1.960 or if z > 1.960.

2. True or False (No explanation needed :D)- Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a difference in the mean dosage of the medication needed to cause a decrease in their INR blood test. If the mean dosage for 75 Caucasian individuals required to get their INR blood test in range is 6.1 mg with a standard deviation of 1.7 mg and the mean dosage for 75 African American individuals required to get their INR blood test in range is 4.3 mg with a standard deviation of 0.9 mg, the decision rule for a 10% level of significance would be to reject H0 if z is less than or equal to -1.645 or z is greater than or equal to 1.645.

Answer 1

Solution-1:

alpha=0.05

z critical values are

-1.96 and+1.96

if test statistic,z<-1.96,Reject Ho

or if if test statistic,z>1.96,Reject Ho

TRUE

Solution-b:

as claim is there is a difference in the mean dosage of the medication needed to cause a decrease in their INR blood test.

Ho:mu1=mu2

Ha:mu1 not =mu2

alpha=0.10

z critical values are -1.645 and +1.645

if test statistic,z<-1.645,Reject Ho

or if if test statistic,z>1.645,Reject Ho

TRUE