Business statistics and research methods questions with answers
88 multiple-choice questions. Open any question for its answer and explanation.
- Match the items of List I with the items of List-II and select the correct answer: List-I List-II a. Contingency coefficient for any size of contingency table 1. $$\sqrt {\frac{{N - n}}{{N - 1}}} $$ b. Statistical approach to decide size of a sample 2. $$\frac{{{\sigma _p}}}{{\sqrt n }}$$ c. Finite population multiplier 3. $$\sqrt {\frac{{{x^2}}}{{{x^2} + n}}} $$ d. Standard error of mean 4.$$\frac{{{Z^2} \cdot \sigma _p^2}}{{{e^2}}}$$
- In the regression equation Y = a + b X, a is called:
- To show the trend for a variable, which one of the presentation method is used?
- Which one of the following is a relative measures of dispersion?
- Central statistical organization was established:
- Which one of these sampling methods is a probability method that seems to be objective, accurate and unbiased?
- Assertion (A): If regression coefficient of X on Y is greater than one, regression coefficient of Y on X must be less than one. Reason (R): The geometric mean between two regression coefficients is the co-efficient of correlation. On the basis of the above, choose the appropriate answer :
- In the case of classification of data, the class having its upper limit is treated as the lower limit of its next class is called
- Which of the following statements relating to the sampling theory are correct? 1. The values of the statistical measures based on the sampled units are called values of statistics. 2. In the simple random sampling technique, the element of the population and the unit of the sample are different. 3. Snow-ball sampling technique is a probability based sampling technique. 4. The 'law of statistical regularity' and the 'law of inertia of large numbers' are the main bases of the sample to become representative of the population. Choose the correct answer:
- If a perpendicular on X-axis from the point of intersection of both 'less than' and 'more than' frequency curves is drawn, it gives the value of
- Match the items of List-I with the items of List-II and select the correct answer: List-I List-II a. Standard error of mean 1. $$Ha:{\mu _1} \ne {\mu _2}$$ b. Base of point estimate of the mean of the population 2. Values based on all the observations of the population c. Non-specific hypothesis 3. Mean of the sampling distribution of mean d. Parameter value of descriptive statistics 4. Standard deviation of the sampling distribution of mean
- If the value of coefficient of determination is 0.64, what is the value of coefficient of correlation?
- To study the economic condition of the workers of a factory, universe will be
- Sampling distribution of mean is very close to the standard normal distribution when
- Statement I: The absolute value of the difference between an unbiased estimate and the corresponding population parameter is called sampling error. Statement II: Multi-stage sampling is a restricted non-probability based sampling technique.
- When the data are classified only on the basis of descriptive characteristics which cannot be quantified is known as
- The difference of two means in case of small samples is tested by the formula:
- Classification of respondents only on the basis of gender is an application of
- The following are the estimated regression equations for x and y variables. x = 0.85y y = 0.89x With this information, the value of the coefficient of correlation would be
- Which of the following is not a measure of central tendency
- Laspeyre's index is based on
- Which of the following is odd one out with regard to 'measure of dispersion'?
- Average value of -4, -3, 0, 3, 4 will be
- Which of the following statements are true? 1. The coefficient of rank correlation has the same limits as the Karl Pearson's coefficient of correlation. 2. The coefficient of correlation is independent of the change of origin but not of scale. 3. The covariance between $$X$$ and $$Y$$ is defined as $$\frac{{\sum {xy} }}{n}$$ where, $$x = \left( {X - \overline X } \right),y = \left( {Y - \overline Y } \right)$$ and $$n = $$ no. of paired observations. 4. $${b_{xy}}$$ is called regression coefficient of $$X$$ variable on $$Y$$ variable. 5. If $${b_{xy}}$$ is 0.4 and $${b_{yx}}$$ is 1.6, coefficient of determination would be 0.8. Select the correct answer:
- If the dependent variable increases as the independent variable increases in an estimation equation, the coefficient of correlation will be in the range