Question

As part of its customer service program, United Airlines randomly selected 10 passengers from today's flight from Chicago to Tampa at nine in the morning. Each passenger in the sample will be interviewed in depth in relation to facilities, services, food, etc., at airports. To identify the sample, each passenger was given a number when boarding the ship. The numbers started with 001 and ended with 250. Select a random sample of ten passengers using systematic sampling. The first random number selected is 16. Mention the numbers with which you identify your systematic sample of size 10.

Answer 1

As part of its customer service program, United Airlines randomly selected 10 passengers from today's flight from Chicago to Tampa at nine in the morning. Each passenger in the sample will be interviewed in depth in relation to facilities, services, food, etc., at airports. To identify the sample, each passenger was given a number when boarding the ship. The numbers started with 001 and ended with 250. Select a random sample of ten passengers using systematic sampling. The first random number selected is 16. Mention the numbers with which you identify your systematic sample of size 10.

Sampling fraction is 10/250 =1/25.

The sampling fraction tells us that we need to select 1 passenger in every 25 passenger from the population of 250.

The first random number selected is 16.

we use the 16^th passenger as the starting point and then select every 25th passenger from this point. As such, we select the 41^th passenger on the list, the 66th passenger, the 91th passenger, and so forth.

The list is

16
41
66
91
116
141
166
191
216
241