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Ten Business People Who Fly Frequently from Melbourne to Sydney

Question 111

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Ten business people who fly frequently from Melbourne to Sydney were asked to rank four airlines in terms of the quality of service. The people assigned scores using a 5-point Likert scale where: 1 = bad, 2 = poor, 3 = average, 4 = good, and 5 = excellent. The results are shown below.  Airline  Person  A  B  C  D 155212334232343411435415362342713528335191352102431\begin{array} { | c | c | c | c | c | } \hline & & { \text { Airline } } \\\hline \text { Person } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline 1 & 5 & 5 & 2 & 1 \\\hline 2 & 3 & 3 & 4 & 2 \\\hline 3 & 2 & 3 & 4 & 3 \\\hline 4 & 1 & 1 & 4 & 3 \\\hline 5 & 4 & 1 & 5 & 3 \\\hline 6 & 2 & 3 & 4 & 2 \\\hline 7 & 1 & 3 & 5 & 2 \\\hline 8 & 3 & 3 & 5 & 1 \\\hline 9 & 1 & 3 & 5 & 2 \\\hline 10 & 2 & 4 & 3 & 1 \\\hline\end{array} Can we conclude at the 5% significance level that there are differences in service quality among the four airlines?

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