Construct confidence interval for µd, the mean of differences d for population of paired data. Suppose that the population of paired differences is normally distributed.
Using the sample paired data below, construct a 90% confidence interval for population mean of all differences x - y.
x 3.3 5.6 3.5 5.2 6.2
y 3.0 4.4 3.1 5.9 3.9
Answer
-0.37 < µd< 1.77
-0.31 < µd< 1.71
-0.07 < µd< 1.47
0.22 <µd< 7.48