Statistics II207710 marksNumerical: sampling distribution of meansampling distribution of mean and proportion
Describe the concept of sampling distribution of mean with reference to the population data (20, 21, 22 & 23) of size 4. In order to explain this, perform simple random sampling with replacement taking all possible samples with sample size n = 2. While describing the sampling distribution following
Describe the concept of sampling distribution of mean with reference to the population data (20, 21, 22 & 23) of size 4. In order to explain this, perform simple random sampling with replacement taking all possible samples with sample size n = 2. While describing the sampling distribution following issues will be covered: a. population mean & population variance, and its distribution b. Sample mean & sample variance, and its distribution c. Comparison of population mean and sample mean; population variance and sample variance; population distribution and sampling distribution based on the given data. d. Standard error of mean e. Final comments based on your result[10]
- Population values: $X = {20, 21, 22, 23}$ - Population size: $N = 4$ - Sampling: Simple Random Sampling With Replacement (SRSWR) - Sample size: $n = 2$ - All possible samples taken All required data present. --- $$\mu = \frac{\sum X}{N} = \frac{20+21+22+23}{4} = \frac{86}{4} = 21.5$$ $X$