Business Statistics And Research Methods - Study Mode

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[#586] Assertion (A): A reasonably sized sample drawn randomly from large sized population contains almost all the characteristics which exist in the population. Reason (R): The theory of sampling is based on the two important laws of statistics, viz law of statistical regularity and law of inertia of large numbers.

(A) Both (A) and (R) are correct and (R) is the correct explanation of (A)

(B) Both (A) and (R) are correct, but (R) is not the correct explanation of (A)

(C) (A) is not correct, while (R) is correct

(D) Both (A) and (R) are not correct

Correct Answer

(B) Both (A) and (R) are correct, but (R) is not the correct explanation of (A)

[#587] The regression equation of profits (X) on sales (Y) of a firm is given as: 3Y - 5X + 10 = 0. If the sales of the firm is Rs. 44,000, the profit will be

(A) Rs. 23,370

(B) Rs. 26,422

(C) Rs. 24,422

(D) Rs. 21,370

Correct Answer

(B) Rs. 26,422

[#588] Assignment of numerals to the objects to represent their attributes is known as

(A) Nominal data

(B) Ordinal data

(C) Interval data

(D) Ratio data

Correct Answer

(B) Ordinal data

[#589] A graph of a cumulative frequency distribution is called

(A) Frequency polygon

(B) Frequency curve

(C) Ogive

(D) Pie diagram

Correct Answer

(C) Ogive

[#590] 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. $$frac{{left| {overline {{X_1}} - overline {{X_2}} }
ight|}}{{sqrt {sigma _p^2left( {frac{1}{{{n_1}}} + frac{1}{{{n_2}}}}
ight)} }}$$ 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

(A) a-1, b-2, c-3, d-4

(B) a-2, b-4, c-3, d-1

(C) a-3, b-4, c-2, d-1

(D) a-3, b-4, c-1, d-2

Correct Answer

(D) a-3, b-4, c-1, d-2