Statistics And Methodology - Statistics And Methodology Section 1

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41. Management science model consists

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42. t is

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43. Given Σdxdy = 2350, Σd2x = 8250, Σd2y = 724, then r will be

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44. A random sample of 15 pairs of values of X and Y from a normal population gives a correlation coefficient of + 0.6. Is the correlation in the population significant?

  • Option : C
  • Explanation : N = 15, r = 0.6 Z = 1.1513 log 1 + r/1 - r = 1.1513 log 1 + 0.6/1 - 0.6 = 1.1513 log 4 = 1.1513 x 0.6021 = 0.6932 S.E.2 = 1/√(N - 3) = 1√(15 - 3) = 1√12 = 1/3.464 = 0.29 Z/(S.E.)2 = 0.6932/0.29 =2.39 > 1.96 Hence 'r' is significant at a 5% level of significance. The answer is (c).
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45. What is the chance of drawing a queen in a draw from a pack of 52 cards?

  • Option : B
  • Explanation : Total number of cases that can happen = 52 No. of favorable cases = No. of queens in a pack or 52= 4 The probability (P) will be - P = 4/52 = 13 Hence the answer is (b).
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