Objectives
After completing this assignment, you should be able to:
Use the following scenario to complete the following task and answer the assignment questions:
The Illinois Bureau of Tourism would like to obtain some specific information about how its I-74 welcome center is being used. The management would like an estimate of how many visitors came to this welcome center in the past month (August, 2021). They have the funds to hire observers to count the number of visitors for a total of 24 hours of observation. Propose a sampling plan to identify which days/hours the counter will be stationed at the welcome center entrance. Assume the population is the 372 daylight hours in August- 12 daylight hours from 8 am to 8 pm during the 31 days in August. In 2021 there will be 9 weekend days (Saturday/Sunday) and 22 weekdays in August. You will need to choose a sample of 24 hours from this population. Note that the sampling unit here is the hour (not the individual visitor). Determine which 24 1-hour time periods to make observations in order to have a representative sample of time periods in August. Indicate the days and times you would schedule the observations.
Use the following approaches to generate a sample:
Any of the following are easy to use free online random number generators:
Answer the following questions about your simple random sample:
What do you think of the days/times that resulted – how do these compare to those you proposed by using your own judgment?
Is the sample size of 24 observations adequate to provide useful information about use of the welcome center? (Use one of the online sample size calculators to help you answer this question – see “Determining Sample Size.”)
Do you think this sample would yield an accurate estimate of use if we calculated the average use per hour from the 24 observations and multiplied by 372 to expand to all daylight hours in August?
Do you see any biases in the sample? If so, what biases do you see?
4. How might the Illinois Bureau of Tourism use a nonrandom sampling technique to collect the information they are seeking? What would be the drawbacks, if any, of using this approach?
5. Which approach do you think yields the best sample for this problem? Why?
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