SOLUTION: The number of person per hour visiting to a community vaccination centres (CVCs) from 9 am to 9 pm in a particular day are shown as below. Suppose 9 am is the starting time and the

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Question 1191976: The number of person per hour visiting to a community vaccination centres (CVCs) from 9 am to 9 pm in a particular day are shown as below. Suppose 9 am is the starting time and the number of patients in every 3-hour are selected to form a sample.
Starting time | 9am 10am 11am 12nn 1pm 2pm 3pm 4pm 5pm 6pm 7pm 8pm
No. of person| 29 33 35 14 20 29 48 43 22 33 42 34
(a) Which time are selected in the sample?
(b) What is the sampling method used?
(c) What is the average number of person per hour based on the time
selected in the sample?
Answer by CPhill(2189) (Show Source):
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Here's the breakdown of the answers:
**(a) Which times are selected in the sample?**
The problem states that the number of patients in *every 3-hour period* is selected. So, the following starting times are selected:
* 9 am
* 12 nn (12 pm)
* 3 pm
* 6 pm
**(b) What is the sampling method used?**
This is *systematic sampling*. The data is arranged in a sequence (time), and every *k*th element (in this case, every 3-hour period) is selected.
**(c) What is the average number of persons per hour based on the times selected in the sample?**
1. **Identify the number of persons for each selected time:**
* 9 am: 29 persons
* 12 nn: 14 persons
* 3 pm: 48 persons
* 6 pm: 33 persons
2. **Calculate the total number of persons in the sample:** 29 + 14 + 48 + 33 = 124 persons
3. **Calculate the total number of hours represented by the sample:** 4 time periods * 3 hours/period = 12 hours
4. **Calculate the average number of persons per hour:** 124 persons / 12 hours = 10.33 persons/hour (approximately)