Paris Saint-Germain, a French professional soccer team, led the 2015 ESPN/Sporting Intelligence Global Salary Survey with the largest payroll for all professional sports teams. A soccer fan looks up the salaries for all of the players on the 2015 Paris Saint- Germain team. Because the fan took a statistics course, the fan uses all of these salaries to get a 95% confidence interval for the mean salary for all 2015 Paris Saint-Germain players. This makes no sense. Why not

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21-10-2021
Mathematics

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Paris Saint-Germain, a French professional soccer team, led the 2015 ESPN/Sporting Intelligence Global Salary Survey with the largest payroll for all professional sports teams. A soccer fan looks up the salaries for all of the players on the 2015 Paris Saint- Germain team. Because the fan took a statistics course, the fan uses all of these salaries to get a 95% confidence interval for the mean salary for all 2015 Paris Saint-Germain players. This makes no sense. Why not

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fichoh fichoh · Answer 1 · 2021-10-28T08:48:59+02:00

The confidence interval for the mean gives an estimated range in which the true population mean of the data resides. Since, the fan uses all the population data, then he could find the population mean directly.

The population mean gives the value of the mean using all the data in the population, it is often referred to as the true mean.

In cases where the entire population data is not available or incomplete, the true mean can be estimated using the sample mean within a given range called the confidence interval of the mean.

Therefore, since the fan is already using all the population data, then he could just calculate the population mean directly.

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