Business Statistics and Research Methods MCQs

Calculate rank correlation coefficient from the following data.

X	59	69	39	49	29
Y	79	69	39	49	39

Which of the following statement(s) is/are true about a schedule?
1. If collects primary data.
2. If collects secondary data.
3. If collects qualitative data.

Suppose the average weight of 9 persons is 50 kg. Average weight of the first 5 person is 45 kg, whereas average weight of the last 5 persons is 55 kg. then the weight of the 5^th member will be

For testing of hypothesis:
Ho: Mi = M2
Ha: Mi < M2
What should be the critical value of Z at 5% level of significance when size of sample is more than 30 is:

Match the following.

List-I (Terms)	List-II (Explanations)
a. Unimodal	1. The distribution that can take a limited number of values which can be listed
b. Discrete probability distribution	2. The curve has a single peak
c. Continuous probability distribution	3. Where variable is allowed to take any value within given range

Match the following from the given observations 15, 20, 25.

List-I	List-II
a. Arithmetic mean	1. 30
b. Sum of deviations from their arithmetic mean	2. 20
c. Range	3. 10

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.$$\frac{{{Z^2} \cdot \sigma _p^2}}{{{e^2}}}$$

Which of the following statements relating to the sampling theory are correct?
i. The values of the statistical measures based on the sampled units ae 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 numbers' are the main bases of the sample to become representative of the population. Choose the correct answer from the options given below:

Match the following in the term of Terms and Explanation:

List-I (Terms)	List-II (Explanation)
a. $$\frac{{{Z^2} \cdot \sigma _p^2}}{{{e^2}}}$$	1. Measurement for Kurtosis
b. $$\frac{{\left| {\overline {{X_1}} - \overline {{X_2}} } \right|}}{{\sqrt {\sigma _p^2\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}}} \right)} }}$$	2. Calculated value of $$F$$ ratio
c. $$\frac{{{\mu _4}}}{{\mu _2^2}}$$	3. Statistical approach to find out the size of sample
d. $$\frac{{\sigma _{{s_1}}^2}}{{\sigma _{{s_2}}^2}}$$	4. Calculated $$z$$ value of mean differences