26:

If r_{xy} = 0.38, r_{xz} = 0.62 and r_{yz} = 0.91. Find the partial correlation between x and y with z held fixed

A. | -0.16 |

B. | -0.57 |

C. | -0.39 |

D. | -0.56 |

Hence the answer is (b). |

27:

Given

N = 8, X¯ = 74.5, A_{X} = 69.0, σ_{X} = 13.07, Y¯ = 125.5, A_{Y} = 112, σ_{Y} = 15.85, Σdxdy = 2176.

Find out correlation

A. | +0.22 |

B. | +0.92 |

C. | +0.96 |

D. | +0.36 |

Hence the answer is (c). |

28:

Out of 10,000 students in a university, a sample of 400 is taken, the monthly average of the expenditure of these 400 students is found to be Rs. 75 and the standard deviation Rs. 2.50. Set the limits within the average of additional sample would be

A. | 192 |

B. | 0.125 |

C. | 163 |

D. | 125 |

If additional samples are taken from the same universe, then their means would lie between 75 ± 3 (0.125) i.e. 75.35 and 74.625. Hence the answer is (b). |

29:

A bag contains 4 white, 2 black, 3 yellow and 3 red balls. What is the probability of getting a white or red ball at random in a single draw of one?

A. | 19% |

B. | 58.3% |

C. | 12% |

D. | 13% |

The probability of getting one white ball = 4/12 The probability of getting one red ball = 3/12 The probability of getting one white or red ball = 4/12 + 3/12 7/12 or 7/12 x 100 = 58.3% Hence the answer is (b). |

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