PREVIOUS YEAR SOLVED PAPERS MCQ - December 2018

51 Which of the following statements relating to the sampling theory are correct?
(i) The values of the statistical measures based on the sampled units are called values of statistic.
(ii) In the simple random sampling technique, the element of the population and the unit of the sample are different.
(iii) Snow-ball sampling technique is a probability-based sampling technique.
(iv) The ‘law of statistical regularity’ and the ‘law of inertia of large’ are the main bases of the sample to become representative of the population.
Choose the correct answer from the code given below.

52 Which one of the following statements is not true?

53 Which one of the following is not the advantage of database management system?

54 The probable error of the coefficient of correlation (r) is calculated by which one of the following formulae?

Probable Error and Standard Error of Coefficient of Correlation
The probable error (PE) of coefficient of correlation indicates extent to which its value depends on the condition of random sampling. If r is the calculated value of correlation coefficient in a sample of n pairs of observations, then the standard error SE_r of the correlation coefficient r is given by

The probable error of the coefficient of correlation is calculated by the expression:

Thus with the help of PE_r we can determine the range within which population coefficient of correlation is expected to fall using following formula:

where ρ (rho) represents population coefficient of correlation.
Remarks
1. If r < PE_r then the value of r is not significant, that is, there is no relationship between two variables of interest.
2. If r > 6PE_r then value of r is significant, that is, there exists a relationship between two variables.
Illustration: If r = 0.8 and n = 25, then PE_r is

Thus the limits within which population correlation coefficient (ρ_r) should fall are

55 To examine whether the company is pursuing its best opportunities with respect to markets, products, and channels is the purpose of which one of the following types of marketing control?