10.144 [EX10-144] The diastolic blood pressure readings for 15 patients were det

Question

10.144 [EX10-144] The diastolic blood pressure readings for 15 patients were determined using two techniques: the standard method used by medical personnel and a method using an electronic device with a digital readout. The results were as follows: Patient 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Standard 72 80 88 80 80 75 92 77 80 65 69 96 77 75 60 method Digital 70 76 87 77 81 75 90 75 82 64 72 95 80 70 61 method Assuming blood pressure is normally distributed, determine the 90% confidence interval for the mean difference in the two readings, where d-standard method - digital readout.

Explanation / Answer

1 - 2 = (M1 - M2) = 0.6, 90% CI [-0.966, 2.166].

Calculation

Pooled Variance
s2p = (SS1 + SS2) / (df1 + df2) = 177.97 / 28 = 6.36

Standard Error
s(M1 - M2) = ((s2p/n1) + (s2p/n2)) = ((6.36/15) + (6.36/15)) = 0.92

Confidence Interval
1 - 2 = (M1 - M2) ± ts(M1 - M2) = 0.6 ± (1.7 * 0.92) = 0.6 ± 1.566

Result

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