Systolic blood pressuremeasurements of 10 people were taken by two observers. As
ID: 2915293 • Letter: S
Question
Systolic blood pressuremeasurements of 10 people were taken by two observers. Assume thedifferences in measurements taken by the two observers areapproximately normally distributed with mean and variance 2.The differences in SBP measurements by the two observers werecomputed, and the mean and variance of the 10 differences in SBPmeasurements were calculated as d = -0.2 and s2 =8.178. Question 1: To test thehypothesis that the two observers have no difference in taking SBPmeasurements, which of the following test should beconducted? A. Ho: = 0versus H1 : <0. B. Ho: = 0 versus H1 : > 0. C. Ho: = 0versus H1 : not equal0.Question 2: Compute a 95% confidence interval forthe mean difference
Question 3: Base of the confidence interval inprevious question, can we reject the hypothesis Ho atthe level =0.05
Question 4: The variance 2 is a measure forinterobserve variability. Compute the 95% confidence interval for2 Systolic blood pressuremeasurements of 10 people were taken by two observers. Assume thedifferences in measurements taken by the two observers areapproximately normally distributed with mean and variance 2.The differences in SBP measurements by the two observers werecomputed, and the mean and variance of the 10 differences in SBPmeasurements were calculated as d = -0.2 and s2 =8.178. Question 1: To test thehypothesis that the two observers have no difference in taking SBPmeasurements, which of the following test should beconducted? A. Ho: = 0versus H1 : <0. B. Ho: = 0 versus H1 : > 0. C. Ho: = 0versus H1 : not equal0.
Question 2: Compute a 95% confidence interval forthe mean difference
Question 3: Base of the confidence interval inprevious question, can we reject the hypothesis Ho atthe level =0.05
Question 4: The variance 2 is a measure forinterobserve variability. Compute the 95% confidence interval for2
Explanation / Answer
Question 1: To test the hypothesis that the two observers have nodifference in taking SBP measurements, the following test should beconducted C. Ho : = 0 versus H1 : not equal 0.Question 2: Compute a 95% confidence interval forthe mean difference
= -0.2
s = 2.953
n =10
standard error, e = 2.953/10= 0.2953
for 95%confidence, critical z = 1.65 (from normaltable)
confidence interval = ± te = -0.2 ± (2.262x0.2953)= -0.2 ± 0.67 = (-0.87, 0.47)
Question 3: Base of the confidence interval inprevious question, can we reject the hypothesis Ho atthe level =0.05
calculated t = -0.2 /0.2953 = -0.67 since the calculated t lies inthe range of the range of the critical t, hence we accept the nullhypothesis. hence we conclude that the twoobservers have no difference in taking SBPmeasurements
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