Most probably not. But it should be close to the population mean if various conditions are met:
For example, the population should consist of independent, [nearly] identically distributed variables, the sample is not systematically biased (it does not have to be completely random).
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The sample mean is an unbiased estimator of the population mean because the average of all the possible sample means of size n is equal to the population mean.
True.
The population mean is the mean value of the entire population. Contrast this with sample mean, which is the mean value of a sample of the population.
With a good sample, the sample mean gets closer to the population mean.
That the key characteristics of the population are reflected in the sample.