In Recent Years, Airlines Have Been Subjected to Various Forms

In recent years, airlines have been subjected to various forms of criticism. An executive of Airline X has taken a quick poll of 16 regular airplane passengers. Each passenger is asked to rate the airline he or she last flew on. The ratings are on a 7-point Likert scale, where 1 = poor and 7 = very good. Of the 16 respondents, six last flew on Airline X and the remainder flew on other airlines. The ratings are shown below. Can the executive conclude from these data with 5% significance that Airline X is more highly rated than the other airlines? $$\begin{array} { | c | c | } \hline { \text { Ratings of Airlines } } \\\hline \text { Airline } \mathrm { X } & \text { Other Airlines } \\\hline 6 & 5 \\\hline 4 & 3 \\\hline 5 & 3 \\\hline 6 & 2 \\\hline 5 & 3 \\\hline 3 & 4 \\\hline & 3 \\\hline & 5 \\\hline & 3 \\\hline & 1 \\\hline\end{array}$$