In a nationwide survey of 1000 companies with more than 50 employees, managers w

Question

In a nationwide survey of 1000 companies with more than 50 employees, managers were asked to rank various factors that influence their decisions in hiring employees. Each factor was ranked on a scale of 1 to 10, with 1 being not important and 10 being very important. The factor "educational background" received a mean ranking of 7.2.
Is the sample mean of 7.2 exactly the same as the population mean?
Repeating this experiment many times with different samples, what values for the sample means would be possible? What values would repeat more often?
I am stuck because I don't understand the equation; can you explain it differently?
In a nationwide survey of 1000 companies with more than 50 employees, managers were asked to rank various factors that influence their decisions in hiring employees. Each factor was ranked on a scale of 1 to 10, with 1 being not important and 10 being very important. The factor "educational background" received a mean ranking of 7.2.
Is the sample mean of 7.2 exactly the same as the population mean?
Repeating this experiment many times with different samples, what values for the sample means would be possible? What values would repeat more often?
I am stuck because I don't understand the equation; can you explain it differently?

Explanation / Answer

No. The sample mean is almost never the same as the population mean. if the sample mean becomes population mean, then the selected sample should be perfectly representative of the whole population. It may not be likely. It is always possible for a sample mean to be at the extreme end of the spectrum, but as our formulas show, it gets less and less likely the further the center you move.

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