Answer:
The correct option is;
The first twenty-five customers
Step-by-step explanation:
For the given data, by calculation, we have;
The population average = 11.45
The average of the first five customers = 13.2
The average of the first ten customers = 11.6
The average of the first twenty customers = 12.5
The average of the first twenty-five customers = 11.72
Therefore both the first ten customers and the first twenty-five customers have good representation of the population mean with the mean of the first ten customers having a value of 11.6 is more closer to the population mean than the mean of the first twenty-five customers
However, by the central limit theorem, as the size of the sample continues to be increasingly larger, it becomes more and more representative of the population mean, this is more so because when the data is sorted, the population mean will be better represented by the mean of a large sample size
Hence the set of sample data needed to best represent the population mean is the first twenty-five customers.
