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A Random Sample of 100 Observations from a Normal Population

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A random sample of 100 observations from a normal population whose standard deviation is 50 produced a mean of 75.Does this statistic provide sufficient evidence at the 5% level of significance to infer that the population mean is not 80?


Definitions:

Biased Sample

A sample that does not accurately represent the population from which it was drawn, usually due to prejudiced selection methods.

Representative Sample

A segment of a population that correctly embodies the traits of the entire population group.

Biased Population

A group in which certain characteristics are over- or underrepresented, leading to skewed or unrepresentative sample outcomes.

Statistically Significant Population

A population size or characteristic in which differences or effects observed are unlikely to be due to chance, typically determined through statistical tests.

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