Chapter PIII, Problem 41RE

(a)

To determine

To Explain: a sampling strategy to arbitrary chosen those to be searched.

Explanation of Solution

It has safety details and 20 first class passengers and 120 flight coach schedules. The 2 first class passengers from 12 coaches are chosen using stratified random sampling.

(b)

To determine

To explain: the two passengers to be searched are chosen, illustrating the procedure carefully.

Explanation of Solution

Here is the list of passengers in the first class and a set of random digits. It need to pick two searchable passengers. First, I need to alphabetically pick the number of passengers with 2-digit numbers for me. It has to allocate Bergman as 01, Bowman as 02 and so on to Test as 20 at the top. There are given random numbers, which are:

65436 71147 04879 41516 20451 02227 94769 23593

It needs a 2-digit number, so it required to read two-digit random numbers in pairs. It has 20 first-class passengers, so it has to take random numbers from 01-20 and ignore pairs like 21-99 and 00, and ignore repeated numbers as well.

Two passengers required to be selected to be searched, so it need to pick two pairs of random numbers by using specified random numbers. It required to place x there with the numbers it has to ignore.

(c)

To determine

To Explain how a random number table will be used to pick the coach passengers to be searched for.

Explanation of Solution

To pick the coach passengers to be scanned, it will use the random number table to alphabetically send the passenger numbers with 3 digits random numbers since 120 coaches so the numbers are 001-120, so it need to use random number tables to produce 3 digits numbers ignoring 121 to 999 and 000 numbers and ignore the repeated numbers. It requires to check for passengers corresponding to the random numbers created by the first 12 valid random digits.