5. Airport authority of Qatar 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 is 40 mins. Random sample passengers, who used the Qatar Airport in a particular day, gave the following boarding time distribution. Time taken to complete the boarding process(mins) No of persons 0-10 a+2 10-201 b+3 20-30 5c+2 30-40 3d+3 40-50 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. (15 Marks)