# Essay on Applied Business Research and Statistics | Help with Assignment Online

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But he realized that managers can select their favorite subordinates which can make the sample biased. So he put the id and name of each employee in excel sheet and created one extra corresponding column for each employee id which is filled by executing the function of random number. Then, selecting the top ten results after sorting the random numbers gives him unbiased sample.

In above example, population could have been taken participation from each employee i.e. data is collected from each member of population. But the sample has been chosen as representative of population to draw the conclusion. Hence, the difference between results of two scenarios is evaluated by sampling error.

Sampling error can be zero in some of the cases. If we have to take the opinions of all the engineers in above case, and sample takes the true proportion of 100% engineer. It can be stated in other way as if the sampling error is zero then the population is uniform or perfect representative sample of population is taken for research purpose.

Let us take an example of nation which is combined unit of states. We can choose the random samples of states which can be further divided into smaller units like city from selected states. These cities can be clustered into smaller areas for observation. Researchers can define his pattern of selecting the sample data until data condition of observation is fully satisfied.

3) It is not possible to study the entire population and accessibility of them is time-consuming and difficult

For Example, Let us consider the case of preparing a list of all the customers from a chain of hardware stores. It is tedious task. But it is convenient to choose a subset of stores in stage one of cluster sampling which can be used for interviewing the customers from those stores in the second stage of cluster sampling.

34. Information from the American Institute of Insurance indicates the mean amount of life

insurance per household in the United States is \$110,000. This distribution follows the

normal distribution with a standard deviation of \$40,000.

a. If we select a random sample of 50 households, what is the standard error of the mean

b. What is the expected shape of the distribution of the sample mean

c. What is the likelihood of selecting a sample with a mean of at least \$112,000

d. What is the like

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