Airport authority of MADRAS claims that the average time taken by their passengers to complete the boarding process is less than the average of all other Airports in the country 60 mins. A random sample passengers, who used the Madras Airport in a particular day, gave the following boarding time distribution. (Follow the “Instructions to students” to replace a,b,c,d,e & f by its values) Time taken to complete the boarding process(mins) No of persons 0-20 a+7 20-40 2b+14 40-60 5c+29 60-80 3d+35 80-100 e+15 Calculate the arithmetic mean and standard deviation of this distribution and use these values to test their claim at 5% level of significance. Comment their claim based on your investigation.