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Homework answers / question archive / Choose the best answer and justify it

Choose the best answer and justify it

Statistics

Choose the best answer and justify it.

(a) What type of data are student ID numbers considered?

(i) interval

(ii) nominal

(iii) ordinal

(iv) ratio

b) The quality control department of a semiconductor manufacturing company tests every 100th product from the assembly line. This type of sampling is called:

(i) cluster

(ii) convenience

(iii) systematic

(iv) stratified

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a)

The type of data that is used to model student ID numbers is ordinal data. As in ordinal data, order of the data matters but not the difference between the values in the data and student ID numbers requires ordering and uniqueness.

Therefore, option (ii) is correct.

b)

The quality control department of a semiconductor manufacturing company tests every 100th product from the assembly line. The sampling method which is used here is systematic sampling.

As in systematic sampling, the sample is drawn from population bu choosing some random starting point in it and then select the sample in fixed interval of data points in population and this interval is known as sampling interval. Since, in the above situation, manufacturing company tests every 100th product from the assembly line, therefore, the sampling interval is 100.

Therefore, option (iii) is correct.

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