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There are some random samples of students drawn by a researcher from the registrar鈥檚 database.

We need to explain will researcher's sample result will be exactly same as true population's mean.

No, the researcher鈥檚 sample result will not be exactly the same as the true population's mean because different random samples will give us different statistics, and it is unlikely that these statistics will match the parameter exactly.

We are given two random samples of students.

$50$students random samples

$100$students random samples

We need to explain which sample will give result closer to true population value

An SRS of $100$students would be more likely to produce a sample result close to the true population value because larger samples will reduce the variability and give accurate results.