The Length of Time That Customers Spent Eating Dinner Was $\begin{array}{c|c|c|c|c|c}51 & 68 & 55 & 51 & 40 & 70 \\\hline 41 & 57 & 85 & 59 & 60 & 47\end{array}$

The length of time that customers spent eating dinner was compared with and without music playing. The times, in minutes, were as follows
Without Music
$\begin{array}{c|c|c|c|c|c}51 & 68 & 55 & 51 & 40 & 70 \\\hline 41 & 57 & 85 & 59 & 60 & 47\end{array}$

With Music
$\begin{array}{l|l|l|l|l|l|l|l}73 & 80 & 60 & 73 & 44 & 81 & 87 & 75 \\\hline 94 & 40 & 89 & 63 & 92 & 78 & 66 &\end{array}$

a) Compute the $P$ -value.
b) Can you conclude that the median times eating dinner differ with and without music? I $= 0.01$ level of significance.

A) a) $0.0110$
b) No, you can not conclude that the median times are different.
B) a) $0.0110$
b) Yes, you can conclude that the median times are different.
C) a) $0.0055$
b) Yes, you can conclude that the median times are different.
D) a) $0.0055$
b) No, you can not conclude that the median times are different.