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ajayrose
25.02.2020 •
Mathematics
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 1.1 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 z value obtained while calculating the test statistic is approximately:
4.4
1.8
11.0
5.16
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Ответ:
Z=11.0
Step-by-step explanation:
Let Caucasian individuals be the population 1 and African American be the population 2. So, we are given that
n=150
n1=75
mean1=xbar1=6.1.
standard deviation1=S.D1=σ1=1.1.
Variance1=V(x1)=σ1²=1.1²=1.21.
n2=75.
mean2=xbar2=4.3.
standard deviation2=S.D2=σ2=0.9.
Variance2=V(x2)=σ2²=0.9²=0.81.
The z-statistic is
Z=10.97
Z=11.0
So, the z value obtained while calculating the test statistic is approximately 11.0.
Ответ:
table 3 represents a direct variation function. : )