Section 12 Sampling Theory: Frequentist View

• Mean and Standard Deviation of a sample

• Mean(Sample Mean) = Population Mean

• Mean(Sample Variance) = Population Variance

• Standard Deviation of Sample Mean = Standard Error of Mean

• Confidence Interval of Sample Mean

• Increase sample size \(\Longrightarrow\) Increased precision

• Distribution of Sample Mean \(\Longrightarrow\) Gaussian distribution

• Central Limit Theorem provides more flexibility