Question

What are examples of:

1. Sampling Error.

2. Sampling Distribution of Sample Means

3. Central Limit Theorem.

4. Standard Error of the Mean. The standard error of the estimate of the mean is represented by the equation: σ√n Discuss what this equation means, using your own words and explain why we use it. Consider how it relates to the fact that we are making assumptions about the population and not just the sample.

Answer 1

(1) Sampling Error: Error during the sampling process is sampling error. e.g. Population specification error which is occur due to the researcher does not know from where the sample should taken. like For Consumption of Alcohol sample taken from the age group 20-30 which neglect the other age group.

(2) Sampling distribution of sample mean: e.g. For the sample size of 20 taken from the college student to know the average weight of college student where the weight of college student follow the normal distribution with parameter and . The Sampling distribution of sample mean() follow the normal distribution with mean = and variance .

(3) Central limit theorem: let the independent sample of size of 35 is taken from the unknown population with mean and variance . Then using Central limit theorem, The sample mean is approximately distributed with normal distribution with parameter and .

(4) Standard error of mean: It is the variation of sample mean from the Actual Population Mean.

Here,

    

=   

=

=

=   

Therefore the standard error of mean is .