The information below contains the waiting times in minutes

The information below contains the waiting times in minutes for 15 randomly selected patients at a hospital main emergency room facility and at three satellite facilities.
Main Satellite 1 Satellite 2 Satellite 3
120.08 30.75 75.86 54.05
81.90 61.83 37.88 38.82
78.79 26.40 68.73 36.85
63.83 53.84 51.08 32.83
79.77 72.30 50.21 52.94
47.94 53.09 58.47 34.13
79.88 27.67 86.29 69.37
48.63 52.46 62.90 78.52
55.43 10.64 44.84 55.95
64.06 53.50 64.17 49.61
64.99 37.28 50.68 66.40
53.82 34.31 47.97 76.06
62.43 66.00 60.57 11.37
65.07 8.99 58.37 83.51
81.02 29.75 30.40 39.17
if appropriate, determine which locations differ in mean waiting time?

Solution

From given information of main,three satellites

First we will see mean of main,

   =(120.08+81.90+78.79+63.83+79.77+47.94+79.88+48.63+55.43+64.06+64.99+53.82+62.43+65.07+81.02)/15

   =69.84

Now we see mean of satellites1,

   =(30.75+61.83+26.40+53.84+72.30+53.09+27.67+52.46+10.64+53.50+37.28+34.31+66.00+8.99+29.75)/15

=41.25

Now we see mean of satellites2,

=(75.86+37.88+68.73+51.08+50.21+58.47+86.29+62.90+44.84+64.17+50.68+47.97+60.57+58.37+30.40)/15

=56.56

Now we see mean of satellites 3,

=(54.05+38.82+36.85+32.83+52.94+34.13+69.37+68.52+55.95+49.61+66.40+74.06+11.37+83.51+39.17)/15

=51.17

Here  locations  at main and satellite 1 differ in mean waiting time