If an estimator is said to be unbiased, then the population mean equals the sample mean.
Question
If an estimator is said to be unbiased, then the population mean equals the sample mean.
Solution
Yes, that's correct. If an estimator is unbiased, it means that the expected value of the estimator is equal to the parameter it is estimating. In simpler terms, if you were to take many samples and calculate the sample mean for each, the average of all your sample means would be very close to the population mean. This is a property of unbiased estimators and is a desirable quality because it means that the estimator is accurate on average.
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